166515440 has 160 divisors (see below), whose sum is σ = 483719040. Its totient is φ = 51904512.

The previous prime is 166515413. The next prime is 166515443. The reversal of 166515440 is 44515661.

It is a junction number, because it is equal to n+sod(n) for n = 166515397 and 166515406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166515443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647792 + ... + 648048.

It is an arithmetic number, because the mean of its divisors is an integer number (3023244).

Almost surely, 2^166515440 is an apocalyptic number.

166515440 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 166515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241859520).

166515440 is an abundant number, since it is smaller than the sum of its proper divisors (317203600).

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

166515440 is a wasteful number, since it uses less digits than its factorization.

166515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 166515440 is about 12904.0861745418. The cubic root of 166515440 is about 550.1547112976.

The spelling of 166515440 in words is "one hundred sixty-six million, five hundred fifteen thousand, four hundred forty".