166199040 has 360 divisors, whose sum is σ = 682614240. Its totient is φ = 37822464.

The previous prime is 166199017. The next prime is 166199051. The reversal of 166199040 is 40991661.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166198986 and 166199004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725646 + ... + 725874.

Almost surely, 2^166199040 is an apocalyptic number.

166199040 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 166199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341307120).

166199040 is an abundant number, since it is smaller than the sum of its proper divisors (516415200).

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

166199040 is an equidigital number, since it uses as much as digits as its factorization.

166199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 166199040 is about 12891.8206627303. The cubic root of 166199040 is about 549.8060362877.

The spelling of 166199040 in words is "one hundred sixty-six million, one hundred ninety-nine thousand, forty".