87492384 has 72 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 24997248.

The previous prime is 87492343. The next prime is 87492439. The reversal of 87492384 is 48329478.

87492384 is a `hidden beast` number, since 87 + 492 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 19684 + ... + 23715.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2^87492384 is an apocalyptic number.

87492384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87492384 is an abundant number, since it is smaller than the sum of its proper divisors (196864416).

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

87492384 is a wasteful number, since it uses less digits than its factorization.

87492384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43422 (or 43411 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 87492384 is about 9353.7363657525. The cubic root of 87492384 is about 443.9391199702.

The spelling of 87492384 in words is "eighty-seven million, four hundred ninety-two thousand, three hundred eighty-four".