166957040 has 40 divisors (see below), whose sum is σ = 392037408. Its totient is φ = 66118400.

The previous prime is 166957039. The next prime is 166957117. The reversal of 166957040 is 40759661.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 166956985 and 166957003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2252 + ... + 18411.

Almost surely, 2^166957040 is an apocalyptic number.

166957040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166957040 is an abundant number, since it is smaller than the sum of its proper divisors (225080368).

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

166957040 is a wasteful number, since it uses less digits than its factorization.

166957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20777 (or 20771 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 166957040 is about 12921.1857041063. The cubic root of 166957040 is about 550.6406199308.

The spelling of 166957040 in words is "one hundred sixty-six million, nine hundred fifty-seven thousand, forty".