85637376 has 216 divisors, whose sum is σ = 280600320. Its totient is φ = 24883200.

The previous prime is 85637369. The next prime is 85637399. The reversal of 85637376 is 67373658.

85637376 is a `hidden beast` number, since 8 + 5 + 637 + 3 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785610 + ... + 785718.

Almost surely, 2^85637376 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 85637376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140300160).

85637376 is an abundant number, since it is smaller than the sum of its proper divisors (194962944).

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

85637376 is a wasteful number, since it uses less digits than its factorization.

85637376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 85637376 is about 9254.0464662763. The cubic root of 85637376 is about 440.7792252641.

The spelling of 85637376 in words is "eighty-five million, six hundred thirty-seven thousand, three hundred seventy-six".