167166000 has 240 divisors, whose sum is σ = 602023968. Its totient is φ = 43200000.

The previous prime is 167165953. The next prime is 167166007. The reversal of 167166000 is 661761.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (167166007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665875 + ... + 666125.

Almost surely, 2^167166000 is an apocalyptic number.

167166000 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 167166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301011984).

167166000 is an abundant number, since it is smaller than the sum of its proper divisors (434857968).

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

167166000 is a wasteful number, since it uses less digits than its factorization.

167166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 167166000 is about 12929.2691208745. The cubic root of 167166000 is about 550.8702476527.

The spelling of 167166000 in words is "one hundred sixty-seven million, one hundred sixty-six thousand".