85302864 has 60 divisors (see below), whose sum is σ = 243255636. Its totient is φ = 27895296.

The previous prime is 85302853. The next prime is 85302887. The reversal of 85302864 is 46820358.

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 16744464 = 8280^2 + 4092^2 .

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

It is a congruent number.

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, 2044 + ... + 13220.

Almost surely, 2^85302864 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 85302864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121627818).

85302864 is an abundant number, since it is smaller than the sum of its proper divisors (157952772).

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

85302864 is a wasteful number, since it uses less digits than its factorization.

85302864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11244 (or 11235 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85302864 is about 9235.9549587468. The cubic root of 85302864 is about 440.2045605303.

The spelling of 85302864 in words is "eighty-five million, three hundred two thousand, eight hundred sixty-four".