166465800 has 192 divisors, whose sum is σ = 593712000. Its totient is φ = 42819840.

The previous prime is 166465763. The next prime is 166465811. The reversal of 166465800 is 8564661.

166465800 is a `hidden beast` number, since 1 + 6 + 646 + 5 + 8 + 0 + 0 = 666.

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

It is a nialpdrome in base 15.

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, 156069 + ... + 157131.

It is an arithmetic number, because the mean of its divisors is an integer number (3092250).

Almost surely, 2^166465800 is an apocalyptic number.

166465800 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 166465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856000).

166465800 is an abundant number, since it is smaller than the sum of its proper divisors (427246200).

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

166465800 is a wasteful number, since it uses less digits than its factorization.

166465800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 166465800 is about 12902.1626094233. The cubic root of 166465800 is about 550.1000369001.

The spelling of 166465800 in words is "one hundred sixty-six million, four hundred sixty-five thousand, eight hundred".