87864075 has 192 divisors, whose sum is σ = 199987200. Its totient is φ = 37324800.

The previous prime is 87864059. The next prime is 87864083. The reversal of 87864075 is 57046878.

It is not a de Polignac number, because 87864075 - 2⁴ = 87864059 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87864075.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2834310 + ... + 2834340.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^87864075 is an apocalyptic number.

87864075 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

87864075 is an abundant number, since it is smaller than the sum of its proper divisors (112123125).

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

87864075 is a wasteful number, since it uses less digits than its factorization.

87864075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 87864075 is about 9373.5838930475. The cubic root of 87864075 is about 444.5668891221.

The spelling of 87864075 in words is "eighty-seven million, eight hundred sixty-four thousand, seventy-five".