87920064 has 42 divisors (see below), whose sum is σ = 252008640. Its totient is φ = 29306496.

The previous prime is 87920059. The next prime is 87920071. The reversal of 87920064 is 46002978.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 75744 + ... + 76895.

Almost surely, 2^87920064 is an apocalyptic number.

It is an amenable number.

87920064 is an abundant number, since it is smaller than the sum of its proper divisors (164088576).

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

87920064 is a wasteful number, since it uses less digits than its factorization.

87920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152657 (or 152644 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87920064 is about 9376.5699485473. The cubic root of 87920064 is about 444.6612984713.

The spelling of 87920064 in words is "eighty-seven million, nine hundred twenty thousand, sixty-four".