85293264 has 80 divisors (see below), whose sum is σ = 254511488. Its totient is φ = 24109056.

The previous prime is 85293253. The next prime is 85293281. The reversal of 85293264 is 46239258.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31284 + ... + 33900.

Almost surely, 2^85293264 is an apocalyptic number.

85293264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85293264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127255744).

85293264 is an abundant number, since it is smaller than the sum of its proper divisors (169218224).

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

85293264 is a wasteful number, since it uses less digits than its factorization.

85293264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2726 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 85293264 is about 9235.4352360893. The cubic root of 85293264 is about 440.1880463434.

The spelling of 85293264 in words is "eighty-five million, two hundred ninety-three thousand, two hundred sixty-four".