85611264 has 72 divisors (see below), whose sum is σ = 239883840. Its totient is φ = 27030528.

The previous prime is 85611257. The next prime is 85611287. The reversal of 85611264 is 46211658.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11659 + ... + 17525.

It is an arithmetic number, because the mean of its divisors is an integer number (3331720).

Almost surely, 2^85611264 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 85611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119941920).

85611264 is an abundant number, since it is smaller than the sum of its proper divisors (154272576).

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

85611264 is a wasteful number, since it uses less digits than its factorization.

85611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5891 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 85611264 is about 9252.6355164353. The cubic root of 85611264 is about 440.7344208509.

The spelling of 85611264 in words is "eighty-five million, six hundred eleven thousand, two hundred sixty-four".