87466880 has 64 divisors (see below), whose sum is σ = 220136400. Its totient is φ = 33140736.

The previous prime is 87466867. The next prime is 87466889. The reversal of 87466880 is 8866478.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87466889) by changing a digit.

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, 8564 + ... + 15756.

Almost surely, 2^87466880 is an apocalyptic number.

87466880 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 87466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110068200).

87466880 is an abundant number, since it is smaller than the sum of its proper divisors (132669520).

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

87466880 is a wasteful number, since it uses less digits than its factorization.

87466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 87466880 is about 9352.3729609121. The cubic root of 87466880 is about 443.8959797443.

The spelling of 87466880 in words is "eighty-seven million, four hundred sixty-six thousand, eight hundred eighty".