153660816 has 45 divisors (see below), whose sum is σ = 430453569. Its totient is φ = 51170688.

The previous prime is 153660799. The next prime is 153660817. The reversal of 153660816 is 618066351.

It is a happy number.

The square root of 153660816 is 12396.

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

153660816 is a `hidden beast` number, since 1 + 5 + 36 + 608 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148352400 + 5308416 = 12180^2 + 2304^2 .

It is a super-2 number, since 2×153660816² = 47223292747571712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (153660817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148236 + ... + 149268.

Almost surely, 2^153660816 is an apocalyptic number.

153660816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

153660816 is the 12396-th square number.

It is an amenable number.

153660816 is an abundant number, since it is smaller than the sum of its proper divisors (276792753).

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

153660816 is an equidigital number, since it uses as much as digits as its factorization.

153660816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 153660816 is about 535.6170317017.

Multiplying 153660816 by its sum of digits (36), we get a square (5531789376 = 74376²).

153660816 divided by its sum of digits (36) gives a square (4268356 = 2066²).

It can be divided in two parts, 153 and 660816, that added together give a square (660969 = 813²).

The spelling of 153660816 in words is "one hundred fifty-three million, six hundred sixty thousand, eight hundred sixteen".