87858180 has 72 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 23356992.

The previous prime is 87858167. The next prime is 87858217. The reversal of 87858180 is 8185878.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85711 + ... + 86729.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2^87858180 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 87858180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

87858180 is an abundant number, since it is smaller than the sum of its proper divisors (179463420).

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

87858180 is a wasteful number, since it uses less digits than its factorization.

87858180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 87858180 is about 9373.2694402754. The cubic root of 87858180 is about 444.5569465663.

The spelling of 87858180 in words is "eighty-seven million, eight hundred fifty-eight thousand, one hundred eighty".