87775632 has 180 divisors, whose sum is σ = 295369984. Its totient is φ = 23811840.

The previous prime is 87775621. The next prime is 87775651. The reversal of 87775632 is 23657778.

87775632 is a `hidden beast` number, since 8 + 7 + 7 + 7 + 5 + 632 = 666.

Its product of digits (493920) is a multiple of the sum of its prime divisors (96).

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 35 ways as a sum of consecutive naturals, for example, 1656118 + ... + 1656170.

Almost surely, 2^87775632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87775632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147684992).

87775632 is an abundant number, since it is smaller than the sum of its proper divisors (207594352).

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

87775632 is a wasteful number, since it uses less digits than its factorization.

87775632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 96 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 87775632 is about 9368.8650326494. The cubic root of 87775632 is about 444.4176736838.

The spelling of 87775632 in words is "eighty-seven million, seven hundred seventy-five thousand, six hundred thirty-two".