85604992 has 64 divisors (see below), whose sum is σ = 187688160. Its totient is φ = 38568960.

The previous prime is 85604969. The next prime is 85604999. The reversal of 85604992 is 29940658.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (85604999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229318 + ... + 229690.

Almost surely, 2^85604992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93844080).

85604992 is an abundant number, since it is smaller than the sum of its proper divisors (102083168).

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

85604992 is a wasteful number, since it uses less digits than its factorization.

85604992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 85604992 is about 9252.2965797687. The cubic root of 85604992 is about 440.7236576496.

The spelling of 85604992 in words is "eighty-five million, six hundred four thousand, nine hundred ninety-two".