166790400 has 432 divisors, whose sum is σ = 675206784. Its totient is φ = 35389440.

The previous prime is 166790389. The next prime is 166790461. The reversal of 166790400 is 4097661.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2284764 + ... + 2284836.

Almost surely, 2^166790400 is an apocalyptic number.

166790400 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 166790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337603392).

166790400 is an abundant number, since it is smaller than the sum of its proper divisors (508416384).

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

166790400 is a wasteful number, since it uses less digits than its factorization.

166790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 166790400 is about 12914.7357696548. The cubic root of 166790400 is about 550.4573606164.

The spelling of 166790400 in words is "one hundred sixty-six million, seven hundred ninety thousand, four hundred".