166964400 has 180 divisors, whose sum is σ = 610158120. Its totient is φ = 42163200.

The previous prime is 166964389. The next prime is 166964401. The reversal of 166964400 is 4469661.

166964400 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×166964400² = 55754221734720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166964401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67180 + ... + 69620.

Almost surely, 2^166964400 is an apocalyptic number.

166964400 is a gapful number since it is divisible by the number (10) 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 166964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305079060).

166964400 is an abundant number, since it is smaller than the sum of its proper divisors (443193720).

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

166964400 is a wasteful number, since it uses less digits than its factorization.

166964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166964400 is about 12921.4705045517. The cubic root of 166964400 is about 550.6487111447.

The spelling of 166964400 in words is "one hundred sixty-six million, nine hundred sixty-four thousand, four hundred".