166791240 has 288 divisors, whose sum is σ = 682194240. Its totient is φ = 34594560.

The previous prime is 166791223. The next prime is 166791241. The reversal of 166791240 is 42197661.

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 166791195 and 166791204.

It is not an unprimeable number, because it can be changed into a prime (166791241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304647 + ... + 305193.

It is an arithmetic number, because the mean of its divisors is an integer number (2368730).

Almost surely, 2^166791240 is an apocalyptic number.

166791240 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 166791240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341097120).

166791240 is an abundant number, since it is smaller than the sum of its proper divisors (515403000).

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

166791240 is a wasteful number, since it uses less digits than its factorization.

166791240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 166791240 is about 12914.7682906044. The cubic root of 166791240 is about 550.4582846972.

The spelling of 166791240 in words is "one hundred sixty-six million, seven hundred ninety-one thousand, two hundred forty".