87257280 has 112 divisors (see below), whose sum is σ = 302264064. Its totient is φ = 21150720.

The previous prime is 87257263. The next prime is 87257297. The reversal of 87257280 is 8275278.

It is an interprime number because it is at equal distance from previous prime (87257263) and next prime (87257297).

It is a super-2 number, since 2×87257280² = 15227665825996800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6429 + ... + 14691.

Almost surely, 2^87257280 is an apocalyptic number.

87257280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151132032).

87257280 is an abundant number, since it is smaller than the sum of its proper divisors (215006784).

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

87257280 is a wasteful number, since it uses less digits than its factorization.

87257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 87257280 is about 9341.1605274719. The cubic root of 87257280 is about 443.5411215576.

The spelling of 87257280 in words is "eighty-seven million, two hundred fifty-seven thousand, two hundred eighty".