166166000 has 320 divisors, whose sum is σ = 545965056. Its totient is φ = 47232000.

The previous prime is 166165999. The next prime is 166166003. The reversal of 166166000 is 661661.

It is a super-2 number, since 2×166166000² = 55222279112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166166003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001959 + ... + 2002041.

Almost surely, 2^166166000 is an apocalyptic number.

166166000 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 166166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

166166000 is an abundant number, since it is smaller than the sum of its proper divisors (379799056).

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

166166000 is a wasteful number, since it uses less digits than its factorization.

166166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 166166000 is about 12890.5391663809. The cubic root of 166166000 is about 549.7696004669.

The spelling of 166166000 in words is "one hundred sixty-six million, one hundred sixty-six thousand".