87166380 has 96 divisors (see below), whose sum is σ = 282852864. Its totient is φ = 19643904.

The previous prime is 87166363. The next prime is 87166403. The reversal of 87166380 is 8366178.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29239 + ... + 32081.

It is an arithmetic number, because the mean of its divisors is an integer number (2946384).

Almost surely, 2^87166380 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 87166380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141426432).

87166380 is an abundant number, since it is smaller than the sum of its proper divisors (195686484).

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

87166380 is a wasteful number, since it uses less digits than its factorization.

87166380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 87166380 is about 9336.2936971798. The cubic root of 87166380 is about 443.3870488491.

The spelling of 87166380 in words is "eighty-seven million, one hundred sixty-six thousand, three hundred eighty".