84888400 has 60 divisors (see below), whose sum is σ = 212834592. Its totient is φ = 32475520.

The previous prime is 84888373. The next prime is 84888413. The reversal of 84888400 is 488848.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 4587 + ... + 13813.

Almost surely, 2^84888400 is an apocalyptic number.

84888400 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 84888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106417296).

84888400 is an abundant number, since it is smaller than the sum of its proper divisors (127946192).

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

84888400 is a wasteful number, since it uses less digits than its factorization.

84888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9268 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 84888400 is about 9213.4901096164. The cubic root of 84888400 is about 439.4904569823.

The spelling of 84888400 in words is "eighty-four million, eight hundred eighty-eight thousand, four hundred".