85637088 has 84 divisors (see below), whose sum is σ = 252850248. Its totient is φ = 28537920.

The previous prime is 85637077. The next prime is 85637089. The reversal of 85637088 is 88073658.

85637088 is a `hidden beast` number, since 8 + 5 + 637 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×85637088² = 14667421682239488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85637089) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21493 + ... + 25163.

It is an arithmetic number, because the mean of its divisors is an integer number (3010122).

Almost surely, 2^85637088 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 85637088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126425124).

85637088 is an abundant number, since it is smaller than the sum of its proper divisors (167213160).

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

85637088 is an equidigital number, since it uses as much as digits as its factorization.

85637088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85637088 is about 9254.0309055027. The cubic root of 85637088 is about 440.7787311475.

It can be divided in two parts, 8563 and 7088, that added together give a palindrome (15651).

The spelling of 85637088 in words is "eighty-five million, six hundred thirty-seven thousand, eighty-eight".