87492880 has 40 divisors (see below), whose sum is σ = 215390232. Its totient is φ = 32937984.

The previous prime is 87492859. The next prime is 87492887. The reversal of 87492880 is 8829478.

It can be written as a sum of positive squares in 4 ways, for example, as 44249104 + 43243776 = 6652^2 + 6576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 87492880.

It is not an unprimeable number, because it can be changed into a prime (87492887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30807 + ... + 33526.

Almost surely, 2^87492880 is an apocalyptic number.

87492880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87492880 is an abundant number, since it is smaller than the sum of its proper divisors (127897352).

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

87492880 is a wasteful number, since it uses less digits than its factorization.

87492880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64363 (or 64357 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 87492880 is about 9353.7628791840. The cubic root of 87492880 is about 443.9399588752.

The spelling of 87492880 in words is "eighty-seven million, four hundred ninety-two thousand, eight hundred eighty".