87974400 has 240 divisors, whose sum is σ = 304444800. Its totient is φ = 22364160.

The previous prime is 87974387. The next prime is 87974401. The reversal of 87974400 is 447978.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87974401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1113561 + ... + 1113639.

It is an arithmetic number, because the mean of its divisors is an integer number (1268520).

Almost surely, 2^87974400 is an apocalyptic number.

87974400 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 87974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152222400).

87974400 is an abundant number, since it is smaller than the sum of its proper divisors (216470400).

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

87974400 is a wasteful number, since it uses less digits than its factorization.

87974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 87974400 is about 9379.4669358125. The cubic root of 87974400 is about 444.7528821956.

The spelling of 87974400 in words is "eighty-seven million, nine hundred seventy-four thousand, four hundred".