87309180 has 216 divisors, whose sum is σ = 324913680. Its totient is φ = 18869760.

The previous prime is 87309149. The next prime is 87309181. The reversal of 87309180 is 8190378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87309181) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167320 + ... + 167840.

It is an arithmetic number, because the mean of its divisors is an integer number (1504230).

Almost surely, 2^87309180 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 87309180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162456840).

87309180 is an abundant number, since it is smaller than the sum of its proper divisors (237604500).

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

87309180 is a wasteful number, since it uses less digits than its factorization.

87309180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 87309180 is about 9343.9381419185. The cubic root of 87309180 is about 443.6290424803.

The spelling of 87309180 in words is "eighty-seven million, three hundred nine thousand, one hundred eighty".