85922400 has 72 divisors (see below), whose sum is σ = 279685224. Its totient is φ = 22912000.

The previous prime is 85922377. The next prime is 85922401. The reversal of 85922400 is 422958.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85922401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15501 + ... + 20300.

It is an arithmetic number, because the mean of its divisors is an integer number (3884517).

Almost surely, 2^85922400 is an apocalyptic number.

85922400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85922400 is an abundant number, since it is smaller than the sum of its proper divisors (193762824).

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

85922400 is a wasteful number, since it uses less digits than its factorization.

85922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35824 (or 35811 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 85922400 is about 9269.4336396567. The cubic root of 85922400 is about 441.2676939728.

The spelling of 85922400 in words is "eighty-five million, nine hundred twenty-two thousand, four hundred".