87967800 has 72 divisors (see below), whose sum is σ = 295431240. Its totient is φ = 23457600.

The previous prime is 87967787. The next prime is 87967813. The reversal of 87967800 is 876978.

It is an interprime number because it is at equal distance from previous prime (87967787) and next prime (87967813).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22636 + ... + 26235.

Almost surely, 2^87967800 is an apocalyptic number.

It is an amenable number.

87967800 is an abundant number, since it is smaller than the sum of its proper divisors (207463440).

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

87967800 is a wasteful number, since it uses less digits than its factorization.

87967800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48893 (or 48881 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 87967800 is about 9379.1150968522. The cubic root of 87967800 is about 444.7417598599.

The spelling of 87967800 in words is "eighty-seven million, nine hundred sixty-seven thousand, eight hundred".