85003264 has 88 divisors (see below), whose sum is σ = 190125360. Its totient is φ = 37748736.

The previous prime is 85003231. The next prime is 85003273. The reversal of 85003264 is 46230058.

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, 330624 + ... + 330880.

Almost surely, 2^85003264 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 85003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95062680).

85003264 is an abundant number, since it is smaller than the sum of its proper divisors (105122096).

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

85003264 is a wasteful number, since it uses less digits than its factorization.

85003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 85003264 is about 9219.7214708472. The cubic root of 85003264 is about 439.6885950858.

The spelling of 85003264 in words is "eighty-five million, three thousand, two hundred sixty-four".