85022400 has 84 divisors (see below), whose sum is σ = 278960072. Its totient is φ = 22671360.

The previous prime is 85022387. The next prime is 85022449. The reversal of 85022400 is 422058.

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, 4057 + ... + 13656.

Almost surely, 2^85022400 is an apocalyptic number.

85022400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85022400 is an abundant number, since it is smaller than the sum of its proper divisors (193937672).

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

85022400 is a wasteful number, since it uses less digits than its factorization.

85022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17738 (or 17723 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 85022400 is about 9220.7591878326. The cubic root of 85022400 is about 439.7215869548.

Adding to 85022400 its reverse (422058), we get a palindrome (85444458).

The spelling of 85022400 in words is "eighty-five million, twenty-two thousand, four hundred".