166085376 has 72 divisors (see below), whose sum is σ = 468067824. Its totient is φ = 52101120.

The previous prime is 166085333. The next prime is 166085417. The reversal of 166085376 is 673580661.

It is a super-2 number, since 2×166085376² = 55168704242122752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6696 + ... + 19416.

It is an arithmetic number, because the mean of its divisors is an integer number (6500942).

Almost surely, 2^166085376 is an apocalyptic number.

166085376 is a gapful number since it is divisible by the number (16) 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 166085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234033912).

166085376 is an abundant number, since it is smaller than the sum of its proper divisors (301982448).

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

166085376 is a wasteful number, since it uses less digits than its factorization.

166085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12757 (or 12743 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 166085376 is about 12887.4115321891. The cubic root of 166085376 is about 549.6806697290.

The spelling of 166085376 in words is "one hundred sixty-six million, eighty-five thousand, three hundred seventy-six".