87084480 has 112 divisors (see below), whose sum is σ = 316016640. Its totient is φ = 19903488.

The previous prime is 87084457. The next prime is 87084493. The reversal of 87084480 is 8448078.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 241 + ... + 13199.

Almost surely, 2^87084480 is an apocalyptic number.

87084480 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 87084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

87084480 is an abundant number, since it is smaller than the sum of its proper divisors (228932160).

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

87084480 is a wasteful number, since it uses less digits than its factorization.

87084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12986 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 87084480 is about 9331.9065576119. The cubic root of 87084480 is about 443.2481391059.

The spelling of 87084480 in words is "eighty-seven million, eighty-four thousand, four hundred eighty".