166961760 has 384 divisors, whose sum is σ = 661893120. Its totient is φ = 34504704.

The previous prime is 166961749. The next prime is 166961771. The reversal of 166961760 is 67169661.

It is an interprime number because it is at equal distance from previous prime (166961749) and next prime (166961771).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2113401 + ... + 2113479.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^166961760 is an apocalyptic number.

166961760 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 166961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

166961760 is an abundant number, since it is smaller than the sum of its proper divisors (494931360).

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

166961760 is a wasteful number, since it uses less digits than its factorization.

166961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 166961760 is about 12921.3683485922. The cubic root of 166961760 is about 550.6458088888.

The spelling of 166961760 in words is "one hundred sixty-six million, nine hundred sixty-one thousand, seven hundred sixty".