87609312 has 72 divisors (see below), whose sum is σ = 284736816. Its totient is φ = 25030656.

The previous prime is 87609289. The next prime is 87609331. The reversal of 87609312 is 21390678.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×87609312² = 15350783098226688, which contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19713 + ... + 23744.

It is an arithmetic number, because the mean of its divisors is an integer number (3954678).

Almost surely, 2^87609312 is an apocalyptic number.

It is an amenable number.

87609312 is an abundant number, since it is smaller than the sum of its proper divisors (197127504).

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

87609312 is a wasteful number, since it uses less digits than its factorization.

87609312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43480 (or 43469 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 87609312 is about 9359.9846153720. The cubic root of 87609312 is about 444.1367973903.

The spelling of 87609312 in words is "eighty-seven million, six hundred nine thousand, three hundred twelve".