87166320 has 80 divisors (see below), whose sum is σ = 281981952. Its totient is φ = 22232320.

The previous prime is 87166301. The next prime is 87166349. The reversal of 87166320 is 2366178.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2376 + ... + 13415.

Almost surely, 2^87166320 is an apocalyptic number.

87166320 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 87166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140990976).

87166320 is an abundant number, since it is smaller than the sum of its proper divisors (194815632).

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

87166320 is a wasteful number, since it uses less digits than its factorization.

87166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15830 (or 15824 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 87166320 is about 9336.2904839128. The cubic root of 87166320 is about 443.3869471156.

The spelling of 87166320 in words is "eighty-seven million, one hundred sixty-six thousand, three hundred twenty".