87890560 has 64 divisors (see below), whose sum is σ = 211507200. Its totient is φ = 34923520.

The previous prime is 87890519. The next prime is 87890587. The reversal of 87890560 is 6509878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×87890560² = 15449501074227200, 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 7 ways as a sum of consecutive naturals, for example, 121881 + ... + 122599.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^87890560 is an apocalyptic number.

87890560 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 87890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

87890560 is an abundant number, since it is smaller than the sum of its proper divisors (123616640).

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

87890560 is a wasteful number, since it uses less digits than its factorization.

With its successor (87890561) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (929).

87890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 87890560 is about 9374.9965333327. The cubic root of 87890560 is about 444.6115534562.

The spelling of 87890560 in words is "eighty-seven million, eight hundred ninety thousand, five hundred sixty".