87964800 has 576 divisors, whose sum is σ = 389305440. Its totient is φ = 17203200.

The previous prime is 87964787. The next prime is 87964831. The reversal of 87964800 is 846978.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5174392 + ... + 5174408.

Almost surely, 2^87964800 is an apocalyptic number.

87964800 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 87964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194652720).

87964800 is an abundant number, since it is smaller than the sum of its proper divisors (301340640).

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

87964800 is a wasteful number, since it uses less digits than its factorization.

87964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 87964800 is about 9378.9551656888. The cubic root of 87964800 is about 444.7367040689.

The spelling of 87964800 in words is "eighty-seven million, nine hundred sixty-four thousand, eight hundred".