87880464 has 120 divisors (see below), whose sum is σ = 291578560. Its totient is φ = 25100928.

The previous prime is 87880451. The next prime is 87880477. The reversal of 87880464 is 46408878.

It is an interprime number because it is at equal distance from previous prime (87880451) and next prime (87880477).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25602 + ... + 28830.

Almost surely, 2^87880464 is an apocalyptic number.

87880464 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 87880464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145789280).

87880464 is an abundant number, since it is smaller than the sum of its proper divisors (203698096).

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

87880464 is a wasteful number, since it uses less digits than its factorization.

87880464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 87880464 is about 9374.4580643363. The cubic root of 87880464 is about 444.5945286088.

The spelling of 87880464 in words is "eighty-seven million, eight hundred eighty thousand, four hundred sixty-four".