85642488 has 64 divisors (see below), whose sum is σ = 242416800. Its totient is φ = 28005120.

The previous prime is 85642477. The next prime is 85642493. The reversal of 85642488 is 88424658.

85642488 is a `hidden beast` number, since 8 + 564 + 2 + 4 + 88 = 666.

It is a congruent number.

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, 7708 + ... + 15188.

Almost surely, 2^85642488 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 85642488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121208400).

85642488 is an abundant number, since it is smaller than the sum of its proper divisors (156774312).

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

85642488 is a wasteful number, since it uses less digits than its factorization.

85642488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7539 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 85642488 is about 9254.3226656520. The cubic root of 85642488 is about 440.7879956503.

The spelling of 85642488 in words is "eighty-five million, six hundred forty-two thousand, four hundred eighty-eight".