84998400 has 216 divisors, whose sum is σ = 296543520. Its totient is φ = 21381120.

The previous prime is 84998399. The next prime is 84998413. The reversal of 84998400 is 489948.

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, 364684 + ... + 364916.

Almost surely, 2^84998400 is an apocalyptic number.

84998400 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 84998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148271760).

84998400 is an abundant number, since it is smaller than the sum of its proper divisors (211545120).

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

84998400 is a wasteful number, since it uses less digits than its factorization.

84998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 84998400 is about 9219.4576847014. The cubic root of 84998400 is about 439.6802084034.

The spelling of 84998400 in words is "eighty-four million, nine hundred ninety-eight thousand, four hundred".