87464480 has 96 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 33454080.

The previous prime is 87464479. The next prime is 87464497. The reversal of 87464480 is 8446478.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 439421 + ... + 439619.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^87464480 is an apocalyptic number.

87464480 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 87464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

87464480 is an abundant number, since it is smaller than the sum of its proper divisors (128449120).

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

87464480 is a wasteful number, since it uses less digits than its factorization.

87464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 87464480 is about 9352.2446503500. The cubic root of 87464480 is about 443.8919196928.

The spelling of 87464480 in words is "eighty-seven million, four hundred sixty-four thousand, four hundred eighty".