87460800 has 336 divisors, whose sum is σ = 347715840. Its totient is φ = 18800640.

The previous prime is 87460787. The next prime is 87460847. The reversal of 87460800 is 806478.

It is a tau number, because it is divible by the number of its divisors (336).

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, 638332 + ... + 638468.

Almost surely, 2^87460800 is an apocalyptic number.

87460800 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 87460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173857920).

87460800 is an abundant number, since it is smaller than the sum of its proper divisors (260255040).

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

87460800 is a wasteful number, since it uses less digits than its factorization.

87460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87460800 is about 9352.0479040689. The cubic root of 87460800 is about 443.8856941364.

The spelling of 87460800 in words is "eighty-seven million, four hundred sixty thousand, eight hundred".