87162880 has 144 divisors (see below), whose sum is σ = 251657280. Its totient is φ = 28311552.

The previous prime is 87162857. The next prime is 87162919. The reversal of 87162880 is 8826178.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4587511 + ... + 4587529.

It is an arithmetic number, because the mean of its divisors is an integer number (1747620).

Almost surely, 2^87162880 is an apocalyptic number.

87162880 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 87162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125828640).

87162880 is an abundant number, since it is smaller than the sum of its proper divisors (164494400).

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

87162880 is an frugal number, since it uses more digits than its factorization.

87162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 87162880 is about 9336.1062547510. The cubic root of 87162880 is about 443.3811143155.

The spelling of 87162880 in words is "eighty-seven million, one hundred sixty-two thousand, eight hundred eighty".