85392864 has 36 divisors (see below), whose sum is σ = 242836776. Its totient is φ = 28464192.

The previous prime is 85392851. The next prime is 85392877. The reversal of 85392864 is 46829358.

It is an interprime number because it is at equal distance from previous prime (85392851) and next prime (85392877).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147964 + ... + 148539.

It is an arithmetic number, because the mean of its divisors is an integer number (6745466).

Almost surely, 2^85392864 is an apocalyptic number.

It is an amenable number.

85392864 is an abundant number, since it is smaller than the sum of its proper divisors (157443912).

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

85392864 is a wasteful number, since it uses less digits than its factorization.

85392864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296519 (or 296508 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85392864 is about 9240.8259371119. The cubic root of 85392864 is about 440.3593208101.

The spelling of 85392864 in words is "eighty-five million, three hundred ninety-two thousand, eight hundred sixty-four".