87924480 has 144 divisors (see below), whose sum is σ = 321022464. Its totient is φ = 20090880.

The previous prime is 87924479. The next prime is 87924521. The reversal of 87924480 is 8442978.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25245 + ... + 28515.

Almost surely, 2^87924480 is an apocalyptic number.

87924480 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 87924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160511232).

87924480 is an abundant number, since it is smaller than the sum of its proper divisors (233097984).

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

87924480 is a wasteful number, since it uses less digits than its factorization.

87924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87924480 is about 9376.8054261566. The cubic root of 87924480 is about 444.6687430800.

The spelling of 87924480 in words is "eighty-seven million, nine hundred twenty-four thousand, four hundred eighty".