87600672 has 36 divisors (see below), whose sum is σ = 249115230. Its totient is φ = 29200128.

The previous prime is 87600647. The next prime is 87600673. The reversal of 87600672 is 27600678.

It can be written as a sum of positive squares in only one way, i.e., 74028816 + 13571856 = 8604^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (87600673) 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, 151797 + ... + 152372.

Almost surely, 2^87600672 is an apocalyptic number.

It is an amenable number.

87600672 is an abundant number, since it is smaller than the sum of its proper divisors (161514558).

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

87600672 is a wasteful number, since it uses less digits than its factorization.

87600672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304185 (or 304174 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 87600672 is about 9359.5230647721. The cubic root of 87600672 is about 444.1221967047.

The spelling of 87600672 in words is "eighty-seven million, six hundred thousand, six hundred seventy-two".