87564907 has 8 divisors (see below), whose sum is σ = 88736256. Its totient is φ = 86399232.

The previous prime is 87564871. The next prime is 87564923. The reversal of 87564907 is 70946578.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87564907 - 2¹⁵ = 87532139 is a prime.

It is a super-2 number, since 2×87564907² = 15335225875837298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87564007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35973 + ... + 38329.

It is an arithmetic number, because the mean of its divisors is an integer number (11092032).

Almost surely, 2^87564907 is an apocalyptic number.

87564907 is a deficient number, since it is larger than the sum of its proper divisors (1171349).

87564907 is a wasteful number, since it uses less digits than its factorization.

87564907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837.

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 87564907 is about 9357.6122488592. The cubic root of 87564907 is about 444.0617474251.

The spelling of 87564907 in words is "eighty-seven million, five hundred sixty-four thousand, nine hundred seven".