87874320 has 80 divisors (see below), whose sum is σ = 273589632. Its totient is φ = 23331840.

The previous prime is 87874301. The next prime is 87874331. The reversal of 87874320 is 2347878.

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

It is a super-2 number, since 2×87874320² = 15443792230924800, which contains 22 as substring.

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, 66789 + ... + 68091.

Almost surely, 2^87874320 is an apocalyptic number.

87874320 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 87874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136794816).

87874320 is an abundant number, since it is smaller than the sum of its proper divisors (185715312).

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

87874320 is a wasteful number, since it uses less digits than its factorization.

87874320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 87874320 is about 9374.1303596654. The cubic root of 87874320 is about 444.5841673661.

The spelling of 87874320 in words is "eighty-seven million, eight hundred seventy-four thousand, three hundred twenty".