85344800 has 36 divisors (see below), whose sum is σ = 208349946. Its totient is φ = 34137600.

The previous prime is 85344781. The next prime is 85344841. The reversal of 85344800 is 844358.

It can be written as a sum of positive squares in 3 ways, for example, as 35952016 + 49392784 = 5996^2 + 7028^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 52541 + ... + 54140.

Almost surely, 2^85344800 is an apocalyptic number.

85344800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85344800 is an abundant number, since it is smaller than the sum of its proper divisors (123005146).

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

85344800 is a wasteful number, since it uses less digits than its factorization.

85344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106701 (or 106688 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 85344800 is about 9238.2249377248. The cubic root of 85344800 is about 440.2766854794.

The spelling of 85344800 in words is "eighty-five million, three hundred forty-four thousand, eight hundred".