84682400 has 72 divisors (see below), whose sum is σ = 225548064. Its totient is φ = 30790400.

The previous prime is 84682399. The next prime is 84682453. The reversal of 84682400 is 428648.

It is a super-2 number, since 2×84682400² = 14342217739520000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3989 + ... + 13611.

It is an arithmetic number, because the mean of its divisors is an integer number (3132612).

Almost surely, 2^84682400 is an apocalyptic number.

84682400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112774032).

84682400 is an abundant number, since it is smaller than the sum of its proper divisors (140865664).

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

84682400 is a wasteful number, since it uses less digits than its factorization.

84682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 84682400 is about 9202.3040593104. The cubic root of 84682400 is about 439.1346629150.

The spelling of 84682400 in words is "eighty-four million, six hundred eighty-two thousand, four hundred".