85910916 has 72 divisors (see below), whose sum is σ = 251146560. Its totient is φ = 22655808.

The previous prime is 85910897. The next prime is 85910939. The reversal of 85910916 is 61901958.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025 + ... + 13263.

Almost surely, 2^85910916 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 85910916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125573280).

85910916 is an abundant number, since it is smaller than the sum of its proper divisors (165235644).

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

85910916 is a wasteful number, since it uses less digits than its factorization.

85910916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11273 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 85910916 is about 9268.8141636350. The cubic root of 85910916 is about 441.2480338144.

The spelling of 85910916 in words is "eighty-five million, nine hundred ten thousand, nine hundred sixteen".