87645312 has 48 divisors (see below), whose sum is σ = 252211830. Its totient is φ = 29214720.

The previous prime is 87645301. The next prime is 87645317. The reversal of 87645312 is 21354678.

87645312 is a `hidden beast` number, since 8 + 7 + 645 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87160896 + 484416 = 9336^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (87645317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36889 + ... + 39192.

Almost surely, 2^87645312 is an apocalyptic number.

It is an amenable number.

87645312 is an abundant number, since it is smaller than the sum of its proper divisors (164566518).

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

87645312 is a wasteful number, since it uses less digits than its factorization.

87645312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76101 (or 76086 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 87645312 is about 9361.9074979408. The cubic root of 87645312 is about 444.1976232501.

The spelling of 87645312 in words is "eighty-seven million, six hundred forty-five thousand, three hundred twelve".