87933760 has 56 divisors (see below), whose sum is σ = 210348576. Its totient is φ = 35013120.

The previous prime is 87933751. The next prime is 87933779. The reversal of 87933760 is 6733978.

It is a super-2 number, since 2×87933760² = 15464692295475200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90075 + ... + 91045.

Almost surely, 2^87933760 is an apocalyptic number.

87933760 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 87933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105174288).

87933760 is an abundant number, since it is smaller than the sum of its proper divisors (122414816).

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

87933760 is a wasteful number, since it uses less digits than its factorization.

87933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 87933760 is about 9377.3002511384. The cubic root of 87933760 is about 444.6843867353.

The spelling of 87933760 in words is "eighty-seven million, nine hundred thirty-three thousand, seven hundred sixty".