87267312 has 120 divisors (see below), whose sum is σ = 273814320. Its totient is φ = 25712640.

The previous prime is 87267281. The next prime is 87267319. The reversal of 87267312 is 21376278.

87267312 is a `hidden beast` number, since 87 + 267 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87267319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57864 + ... + 59352.

It is an arithmetic number, because the mean of its divisors is an integer number (2281786).

Almost surely, 2^87267312 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 87267312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136907160).

87267312 is an abundant number, since it is smaller than the sum of its proper divisors (186547008).

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

87267312 is a wasteful number, since it uses less digits than its factorization.

87267312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1542 counting only the distinct ones).

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

The square root of 87267312 is about 9341.6974902852. The cubic root of 87267312 is about 443.5581189322.

The spelling of 87267312 in words is "eighty-seven million, two hundred sixty-seven thousand, three hundred twelve".