153664 has 35 divisors (see below), whose sum is σ = 355727. Its totient is φ = 65856.

The previous prime is 153649. The next prime is 153689. The reversal of 153664 is 466351.

Multipling 153664 by its sum of digits (25), we get a square (3841600 = 1960^{2}).

It can be divided in two parts, 1536 and 64, that added together give a square (1600 = 40^{2}).

153664 = T_{391} + T_{392}.

The square root of 153664 is 392.

It is a perfect power (a square), and thus also a powerful number.

It is an ABA number since it can be written as A⋅B^{A}, here for A=4, B=14.

It is a super-2 number, since 2×153664^{2} = 47225249792, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (2160) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 21949 + ... + 21955.

153664 is a Friedman number, since it can be written as 56^(3+1)/64, using all its digits and the basic arithmetic operations.

2^{153664} is an apocalyptic number.

153664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

153664 is the 392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153664

153664 is an abundant number, since it is smaller than the sum of its proper divisors (202063).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153664 is an frugal number, since it uses more digits than its factorization.

153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 9 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The cubic root of 153664 is about 53.5620731176.

The spelling of 153664 in words is "one hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2401 2744 3136 4802 5488 9604 10976 19208 21952 38416 76832 153664

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