87966480 has 80 divisors (see below), whose sum is σ = 311658624. Its totient is φ = 20106240.

The previous prime is 87966479. The next prime is 87966481. The reversal of 87966480 is 8466978.

It is an interprime number because it is at equal distance from previous prime (87966479) and next prime (87966481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (87966481) 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 15 ways as a sum of consecutive naturals, for example, 24501 + ... + 27860.

Almost surely, 2^87966480 is an apocalyptic number.

87966480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87966480 is an abundant number, since it is smaller than the sum of its proper divisors (223692144).

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

87966480 is a wasteful number, since it uses less digits than its factorization.

87966480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52384 (or 52378 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 87966480 is about 9379.0447274762. The cubic root of 87966480 is about 444.7395353260.

The spelling of 87966480 in words is "eighty-seven million, nine hundred sixty-six thousand, four hundred eighty".