87993180 has 144 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 20200320.

The previous prime is 87993167. The next prime is 87993187. The reversal of 87993180 is 8139978.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87993187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36451 + ... + 38789.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^87993180 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 87993180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

87993180 is an abundant number, since it is smaller than the sum of its proper divisors (218640420).

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

87993180 is a wasteful number, since it uses less digits than its factorization.

87993180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 87993180 is about 9380.4680053822. The cubic root of 87993180 is about 444.7845272532.

The spelling of 87993180 in words is "eighty-seven million, nine hundred ninety-three thousand, one hundred eighty".