85553792 has 32 divisors (see below), whose sum is σ = 180469620. Its totient is φ = 40259584.

The previous prime is 85553791. The next prime is 85553801. The reversal of 85553792 is 29735558.

It can be written as a sum of positive squares in 2 ways, for example, as 76457536 + 9096256 = 8744^2 + 3016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (85553791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17483 + ... + 21834.

Almost surely, 2^85553792 is an apocalyptic number.

It is an amenable number.

85553792 is an abundant number, since it is smaller than the sum of its proper divisors (94915828).

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

85553792 is a wasteful number, since it uses less digits than its factorization.

85553792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39348 (or 39336 counting only the distinct ones).

The product of its digits is 378000, while the sum is 44.

The square root of 85553792 is about 9249.5292853204. The cubic root of 85553792 is about 440.6357751133.

The spelling of 85553792 in words is "eighty-five million, five hundred fifty-three thousand, seven hundred ninety-two".