84086400 has 192 divisors, whose sum is σ = 292168800. Its totient is φ = 21196800.

The previous prime is 84086393. The next prime is 84086417. The reversal of 84086400 is 468048.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182170 + ... + 182630.

Almost surely, 2^84086400 is an apocalyptic number.

84086400 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 84086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146084400).

84086400 is an abundant number, since it is smaller than the sum of its proper divisors (208082400).

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

84086400 is a wasteful number, since it uses less digits than its factorization.

84086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 84086400 is about 9169.8636849192. The cubic root of 84086400 is about 438.1020174784.

The spelling of 84086400 in words is "eighty-four million, eighty-six thousand, four hundred".