166954976 has 48 divisors (see below), whose sum is σ = 361065600. Its totient is φ = 75639168.

The previous prime is 166954961. The next prime is 166955021. The reversal of 166954976 is 679459661.

It is a super-2 number, since 2×166954976² = 55747928022321152, which contains 22 as substring.

It is a congruent number.

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, 8015 + ... + 19953.

It is an arithmetic number, because the mean of its divisors is an integer number (7522200).

Almost surely, 2^166954976 is an apocalyptic number.

166954976 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 166954976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180532800).

166954976 is an abundant number, since it is smaller than the sum of its proper divisors (194110624).

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

166954976 is a wasteful number, since it uses less digits than its factorization.

166954976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11983 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 53.

The square root of 166954976 is about 12921.1058350282. The cubic root of 166954976 is about 550.6383508302.

The spelling of 166954976 in words is "one hundred sixty-six million, nine hundred fifty-four thousand, nine hundred seventy-six".