166891040 has 48 divisors (see below), whose sum is σ = 417479832. Its totient is φ = 62828544.

The previous prime is 166891007. The next prime is 166891051. The reversal of 166891040 is 40198661.

It can be written as a sum of positive squares in 4 ways, for example, as 166616464 + 274576 = 12908^2 + 524^2 .

It is a super-3 number, since 3×166891040³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27959 + ... + 33398.

Almost surely, 2^166891040 is an apocalyptic number.

166891040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166891040 is an abundant number, since it is smaller than the sum of its proper divisors (250588792).

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

166891040 is a wasteful number, since it uses less digits than its factorization.

166891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61389 (or 61381 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 166891040 is about 12918.6315064716. The cubic root of 166891040 is about 550.5680522195.

The spelling of 166891040 in words is "one hundred sixty-six million, eight hundred ninety-one thousand, forty".