87632667 has 24 divisors (see below), whose sum is σ = 130617344. Its totient is φ = 56582064.

The previous prime is 87632651. The next prime is 87632681. The reversal of 87632667 is 76623678.

87632667 is a `hidden beast` number, since 8 + 7 + 632 + 6 + 6 + 7 = 666.

It is not a de Polignac number, because 87632667 - 2⁴ = 87632651 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87632767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48258 + ... + 50040.

Almost surely, 2^87632667 is an apocalyptic number.

87632667 is a deficient number, since it is larger than the sum of its proper divisors (42984677).

87632667 is a wasteful number, since it uses less digits than its factorization.

87632667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1956 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 87632667 is about 9361.2321304409. The cubic root of 87632667 is about 444.1762600649.

The spelling of 87632667 in words is "eighty-seven million, six hundred thirty-two thousand, six hundred sixty-seven".