87955312 has 40 divisors (see below), whose sum is σ = 180881280. Its totient is φ = 41342400.

The previous prime is 87955303. The next prime is 87955333. The reversal of 87955312 is 21355978.

It is a super-2 number, since 2×87955312² = 15472273818034688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19687 + ... + 23737.

It is an arithmetic number, because the mean of its divisors is an integer number (4522032).

Almost surely, 2^87955312 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 87955312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90440640).

87955312 is an abundant number, since it is smaller than the sum of its proper divisors (92925968).

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

87955312 is a wasteful number, since it uses less digits than its factorization.

87955312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4135 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 87955312 is about 9378.4493387766. The cubic root of 87955312 is about 444.7207135303.

The spelling of 87955312 in words is "eighty-seven million, nine hundred fifty-five thousand, three hundred twelve".