87196800 has 192 divisors, whose sum is σ = 297480960. Its totient is φ = 22425600.

The previous prime is 87196799. The next prime is 87196843. The reversal of 87196800 is 869178.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297454 + ... + 297746.

It is an arithmetic number, because the mean of its divisors is an integer number (1549380).

Almost surely, 2^87196800 is an apocalyptic number.

87196800 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 87196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

87196800 is an abundant number, since it is smaller than the sum of its proper divisors (210284160).

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

87196800 is a wasteful number, since it uses less digits than its factorization.

87196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 87196800 is about 9337.9226811963. The cubic root of 87196800 is about 443.4386217350.

The spelling of 87196800 in words is "eighty-seven million, one hundred ninety-six thousand, eight hundred".