87714564 has 48 divisors (see below), whose sum is σ = 246220800. Its totient is φ = 23741856.

The previous prime is 87714563. The next prime is 87714619. The reversal of 87714564 is 46541778.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (87714563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25884 + ... + 29075.

It is an arithmetic number, because the mean of its divisors is an integer number (5129600).

Almost surely, 2^87714564 is an apocalyptic number.

87714564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87714564 is an abundant number, since it is smaller than the sum of its proper divisors (158506236).

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

87714564 is a wasteful number, since it uses less digits than its factorization.

87714564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54992 (or 54990 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 87714564 is about 9365.6053728523. The cubic root of 87714564 is about 444.3145851072.

The spelling of 87714564 in words is "eighty-seven million, seven hundred fourteen thousand, five hundred sixty-four".