87984000 has 384 divisors, whose sum is σ = 347518080. Its totient is φ = 21196800.

The previous prime is 87983989. The next prime is 87984011. The reversal of 87984000 is 48978.

It is an interprime number because it is at equal distance from previous prime (87983989) and next prime (87984011).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1871977 + ... + 1872023.

It is an arithmetic number, because the mean of its divisors is an integer number (904995).

Almost surely, 2^87984000 is an apocalyptic number.

87984000 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 87984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).

87984000 is an abundant number, since it is smaller than the sum of its proper divisors (259534080).

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

87984000 is a wasteful number, since it uses less digits than its factorization.

87984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87984000 is about 9379.9786780141. The cubic root of 87984000 is about 444.7690591455.

The spelling of 87984000 in words is "eighty-seven million, nine hundred eighty-four thousand".