166664736 has 192 divisors, whose sum is σ = 588591360. Its totient is φ = 44789760.

The previous prime is 166664723. The next prime is 166664777. The reversal of 166664736 is 637466661.

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

It is a junction number, because it is equal to n+sod(n) for n = 166664691 and 166664700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102006 + ... + 103626.

It is an arithmetic number, because the mean of its divisors is an integer number (3065580).

Almost surely, 2^166664736 is an apocalyptic number.

166664736 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 166664736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294295680).

166664736 is an abundant number, since it is smaller than the sum of its proper divisors (421926624).

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

166664736 is a wasteful number, since it uses less digits than its factorization.

166664736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1650 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 166664736 is about 12909.8697127430. The cubic root of 166664736 is about 550.3190831673.

It can be divided in two parts, 1666 and 64736, that multiplied together give a cube (107850176 = 476³).

The spelling of 166664736 in words is "one hundred sixty-six million, six hundred sixty-four thousand, seven hundred thirty-six".