87924840 has 64 divisors (see below), whose sum is σ = 264893760. Its totient is φ = 23347200.

The previous prime is 87924821. The next prime is 87924841. The reversal of 87924840 is 4842978.

It is a junction number, because it is equal to n+sod(n) for n = 87924792 and 87924801.

It is not an unprimeable number, because it can be changed into a prime (87924841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29415 + ... + 32265.

It is an arithmetic number, because the mean of its divisors is an integer number (4138965).

Almost surely, 2^87924840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87924840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132446880).

87924840 is an abundant number, since it is smaller than the sum of its proper divisors (176968920).

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

87924840 is a wasteful number, since it uses less digits than its factorization.

87924840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3118 counting only the distinct ones).

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

The square root of 87924840 is about 9376.8246224402. The cubic root of 87924840 is about 444.6693499665.

The spelling of 87924840 in words is "eighty-seven million, nine hundred twenty-four thousand, eight hundred forty".