85551264 has 72 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 28280448.

The previous prime is 85551251. The next prime is 85551287. The reversal of 85551264 is 46215558.

85551264 is a `hidden beast` number, since 85 + 5 + 512 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35407 + ... + 37745.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2^85551264 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 85551264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

85551264 is an abundant number, since it is smaller than the sum of its proper divisors (159755616).

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

85551264 is a wasteful number, since it uses less digits than its factorization.

85551264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2471 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 85551264 is about 9249.3926287081. The cubic root of 85551264 is about 440.6314350049.

The spelling of 85551264 in words is "eighty-five million, five hundred fifty-one thousand, two hundred sixty-four".