166958064 has 320 divisors, whose sum is σ = 613294080. Its totient is φ = 42301440.

The previous prime is 166958063. The next prime is 166958087. The reversal of 166958064 is 460859661.

166958064 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 580 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166958063) 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, 1218604 + ... + 1218740.

It is an arithmetic number, because the mean of its divisors is an integer number (1916544).

Almost surely, 2^166958064 is an apocalyptic number.

166958064 is a gapful number since it is divisible by the number (14) 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 166958064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306647040).

166958064 is an abundant number, since it is smaller than the sum of its proper divisors (446336016).

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

166958064 is a wasteful number, since it uses less digits than its factorization.

166958064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 166958064 is about 12921.2253288920. The cubic root of 166958064 is about 550.6417456791.

The spelling of 166958064 in words is "one hundred sixty-six million, nine hundred fifty-eight thousand, sixty-four".