87945984 has 324 divisors, whose sum is σ = 318066840. Its totient is φ = 23224320.

The previous prime is 87945971. The next prime is 87946013. The reversal of 87945984 is 48954978.

It is a super-2 number, since 2×87945984² = 15468992203456512, which contains 22 as substring.

Its product of digits (2903040) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 87945984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2145004 + ... + 2145044.

Almost surely, 2^87945984 is an apocalyptic number.

87945984 is a gapful number since it is divisible by the number (84) 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 87945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159033420).

87945984 is an abundant number, since it is smaller than the sum of its proper divisors (230120856).

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

87945984 is a wasteful number, since it uses less digits than its factorization.

87945984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 87945984 is about 9377.9520152323. The cubic root of 87945984 is about 444.7049915257.

The spelling of 87945984 in words is "eighty-seven million, nine hundred forty-five thousand, nine hundred eighty-four".