87643800 has 288 divisors, whose sum is σ = 322077600. Its totient is φ = 21288960.

The previous prime is 87643793. The next prime is 87643819. The reversal of 87643800 is 834678.

87643800 is a `hidden beast` number, since 8 + 7 + 643 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1200564 + ... + 1200636.

It is an arithmetic number, because the mean of its divisors is an integer number (1118325).

Almost surely, 2^87643800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87643800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161038800).

87643800 is an abundant number, since it is smaller than the sum of its proper divisors (234433800).

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

87643800 is a wasteful number, since it uses less digits than its factorization.

87643800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87643800 is about 9361.8267448186. The cubic root of 87643800 is about 444.1950688991.

The spelling of 87643800 in words is "eighty-seven million, six hundred forty-three thousand, eight hundred".