166926400 has 189 divisors, whose sum is σ = 460499079. Its totient is φ = 59535360.

The previous prime is 166926377. The next prime is 166926401. The reversal of 166926400 is 4629661.

The square root of 166926400 is 12920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3904576 + 163021824 = 1976^2 + 12768^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166926401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 8785591 + ... + 8785609.

Almost surely, 2^166926400 is an apocalyptic number.

166926400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166926400 is the 12920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166926400

166926400 is an abundant number, since it is smaller than the sum of its proper divisors (293572679).

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

166926400 is a wasteful number, since it uses less digits than its factorization.

166926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 166926400 is about 550.6069332994.

The spelling of 166926400 in words is "one hundred sixty-six million, nine hundred twenty-six thousand, four hundred".