85553664 has 160 divisors (see below), whose sum is σ = 266471040. Its totient is φ = 23887872.

The previous prime is 85553627. The next prime is 85553681. The reversal of 85553664 is 46635558.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784842 + ... + 784950.

It is an arithmetic number, because the mean of its divisors is an integer number (1665444).

Almost surely, 2^85553664 is an apocalyptic number.

85553664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133235520).

85553664 is an abundant number, since it is smaller than the sum of its proper divisors (180917376).

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

85553664 is a wasteful number, since it uses less digits than its factorization.

85553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 85553664 is about 9249.5223660468. The cubic root of 85553664 is about 440.6355553631.

The spelling of 85553664 in words is "eighty-five million, five hundred fifty-three thousand, six hundred sixty-four".