87280368 has 120 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 24329088.

The previous prime is 87280367. The next prime is 87280381. The reversal of 87280368 is 86308278.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87280367) 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, 100705 + ... + 101567.

Almost surely, 2^87280368 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 87280368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544).

87280368 is an abundant number, since it is smaller than the sum of its proper divisors (181416720).

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

87280368 is a wasteful number, since it uses less digits than its factorization.

87280368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87280368 is about 9342.3962664832. The cubic root of 87280368 is about 443.5802379666.

The spelling of 87280368 in words is "eighty-seven million, two hundred eighty thousand, three hundred sixty-eight".