87456360 has 64 divisors (see below), whose sum is σ = 267338880. Its totient is φ = 22880000.

The previous prime is 87456337. The next prime is 87456361. The reversal of 87456360 is 6365478.

It is a super-2 number, since 2×87456360² = 15297229808899200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87456361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (4177170).

Almost surely, 2^87456360 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 87456360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133669440).

87456360 is an abundant number, since it is smaller than the sum of its proper divisors (179882520).

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

87456360 is a wasteful number, since it uses less digits than its factorization.

87456360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13818 (or 13814 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 87456360 is about 9351.8105198940. The cubic root of 87456360 is about 443.8781826347.

The spelling of 87456360 in words is "eighty-seven million, four hundred fifty-six thousand, three hundred sixty".