87642801 has 12 divisors (see below), whose sum is σ = 133258320. Its totient is φ = 55353240.

The previous prime is 87642781. The next prime is 87642809. The reversal of 87642801 is 10824678.

87642801 is a `hidden beast` number, since 8 + 7 + 642 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 87642801 - 2¹⁴ = 87626417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87642809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 256095 + ... + 256436.

It is an arithmetic number, because the mean of its divisors is an integer number (11104860).

Almost surely, 2^87642801 is an apocalyptic number.

It is an amenable number.

87642801 is a deficient number, since it is larger than the sum of its proper divisors (45615519).

87642801 is a wasteful number, since it uses less digits than its factorization.

87642801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512556 (or 512553 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87642801 is about 9361.7733896949. The cubic root of 87642801 is about 444.1933811868.

The spelling of 87642801 in words is "eighty-seven million, six hundred forty-two thousand, eight hundred one".