166748400 has 360 divisors, whose sum is σ = 713600160. Its totient is φ = 35112960.

The previous prime is 166748383. The next prime is 166748401. The reversal of 166748400 is 4847661.

It is a tau number, because it is divible by the number of its divisors (360).

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 (166748401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327346 + ... + 327854.

Almost surely, 2^166748400 is an apocalyptic number.

166748400 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 166748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356800080).

166748400 is an abundant number, since it is smaller than the sum of its proper divisors (546851760).

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

166748400 is a wasteful number, since it uses less digits than its factorization.

166748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 166748400 is about 12913.1096177489. The cubic root of 166748400 is about 550.4111526213.

The spelling of 166748400 in words is "one hundred sixty-six million, seven hundred forty-eight thousand, four hundred".