166961696 has 48 divisors (see below), whose sum is σ = 359922528. Its totient is φ = 75609600.

The previous prime is 166961689. The next prime is 166961699. The reversal of 166961696 is 696169661.

It is not an unprimeable number, because it can be changed into a prime (166961699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115796 + ... + 117228.

It is an arithmetic number, because the mean of its divisors is an integer number (7498386).

Almost surely, 2^166961696 is an apocalyptic number.

166961696 is a gapful number since it is divisible by the number (16) 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 166961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179961264).

166961696 is an abundant number, since it is smaller than the sum of its proper divisors (192960832).

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

166961696 is a wasteful number, since it uses less digits than its factorization.

166961696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its digits is 629856, while the sum is 50.

The square root of 166961696 is about 12921.3658720741. The cubic root of 166961696 is about 550.6457385307.

The spelling of 166961696 in words is "one hundred sixty-six million, nine hundred sixty-one thousand, six hundred ninety-six".