166314624 has 96 divisors (see below), whose sum is σ = 513957600. Its totient is φ = 47513088.

The previous prime is 166314613. The next prime is 166314637. The reversal of 166314624 is 426413661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×166314624² = 55321108312522752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 14397 + ... + 23235.

It is an arithmetic number, because the mean of its divisors is an integer number (5353725).

Almost surely, 2^166314624 is an apocalyptic number.

166314624 is a gapful number since it is divisible by the number (14) 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 166314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256978800).

166314624 is an abundant number, since it is smaller than the sum of its proper divisors (347642976).

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

166314624 is an equidigital number, since it uses as much as digits as its factorization.

166314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8851 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 166314624 is about 12896.3027259754. The cubic root of 166314624 is about 549.9334619231.

The spelling of 166314624 in words is "one hundred sixty-six million, three hundred fourteen thousand, six hundred twenty-four".