166865040 has 120 divisors (see below), whose sum is σ = 572427648. Its totient is φ = 43541760.

The previous prime is 166865009. The next prime is 166865063. The reversal of 166865040 is 40568661.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 166864986 and 166865004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31375 + ... + 36305.

Almost surely, 2^166865040 is an apocalyptic number.

166865040 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 166865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286213824).

166865040 is an abundant number, since it is smaller than the sum of its proper divisors (405562608).

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

166865040 is a wasteful number, since it uses less digits than its factorization.

166865040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 166865040 is about 12917.6251687375. The cubic root of 166865040 is about 550.5394596864.

The spelling of 166865040 in words is "one hundred sixty-six million, eight hundred sixty-five thousand, forty".