87998400 has 420 divisors, whose sum is σ = 373479568. Its totient is φ = 19906560.

The previous prime is 87998389. The next prime is 87998401. The reversal of 87998400 is 489978.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87998401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 907152 + ... + 907248.

Almost surely, 2^87998400 is an apocalyptic number.

87998400 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 87998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186739784).

87998400 is an abundant number, since it is smaller than the sum of its proper divisors (285481168).

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

87998400 is a wasteful number, since it uses less digits than its factorization.

87998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87998400 is about 9380.7462389727. The cubic root of 87998400 is about 444.7933223641.

The spelling of 87998400 in words is "eighty-seven million, nine hundred ninety-eight thousand, four hundred".