87975840 has 48 divisors (see below), whose sum is σ = 277125408. Its totient is φ = 23460096.

The previous prime is 87975829. The next prime is 87975883. The reversal of 87975840 is 4857978.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87975840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91162 + ... + 92121.

It is an arithmetic number, because the mean of its divisors is an integer number (5773446).

Almost surely, 2^87975840 is an apocalyptic number.

87975840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87975840 is an abundant number, since it is smaller than the sum of its proper divisors (189149568).

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

87975840 is a wasteful number, since it uses less digits than its factorization.

87975840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183301 (or 183293 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 87975840 is about 9379.5436989227. The cubic root of 87975840 is about 444.7553088131.

The spelling of 87975840 in words is "eighty-seven million, nine hundred seventy-five thousand, eight hundred forty".