87280160 has 96 divisors (see below), whose sum is σ = 227634624. Its totient is φ = 31360000.

The previous prime is 87280139. The next prime is 87280181. The reversal of 87280160 is 6108278.

It is an interprime number because it is at equal distance from previous prime (87280139) and next prime (87280181).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 177515 + ... + 178005.

It is an arithmetic number, because the mean of its divisors is an integer number (2371194).

Almost surely, 2^87280160 is an apocalyptic number.

87280160 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 87280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113817312).

87280160 is an abundant number, since it is smaller than the sum of its proper divisors (140354464).

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

87280160 is a wasteful number, since it uses less digits than its factorization.

87280160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 87280160 is about 9342.3851344290. The cubic root of 87280160 is about 443.5798855973.

The spelling of 87280160 in words is "eighty-seven million, two hundred eighty thousand, one hundred sixty".