166118400 has 396 divisors, whose sum is σ = 686350912. Its totient is φ = 37601280.

The previous prime is 166118389. The next prime is 166118423. The reversal of 166118400 is 4811661.

166118400 is a `hidden beast` number, since 1 + 6 + 611 + 8 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612749 + ... + 1612851.

Almost surely, 2^166118400 is an apocalyptic number.

166118400 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 166118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343175456).

166118400 is an abundant number, since it is smaller than the sum of its proper divisors (520232512).

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

166118400 is a wasteful number, since it uses less digits than its factorization.

166118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 166118400 is about 12888.6927188137. The cubic root of 166118400 is about 549.7170996902.

The spelling of 166118400 in words is "one hundred sixty-six million, one hundred eighteen thousand, four hundred".