166375040 has 64 divisors (see below), whose sum is σ = 428357160. Its totient is φ = 61427712.

The previous prime is 166375021. The next prime is 166375063. The reversal of 166375040 is 40573661.

It can be written as a sum of positive squares in 4 ways, for example, as 134745664 + 31629376 = 11608^2 + 5624^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 166374988 and 166375006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1679 + ... + 18318.

Almost surely, 2^166375040 is an apocalyptic number.

166375040 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 166375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214178580).

166375040 is an abundant number, since it is smaller than the sum of its proper divisors (261982120).

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

166375040 is a wasteful number, since it uses less digits than its factorization.

166375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20029 (or 20017 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 166375040 is about 12898.6448900650. The cubic root of 166375040 is about 550.0000440771. Note that the first 4 decimals are identical.

The spelling of 166375040 in words is "one hundred sixty-six million, three hundred seventy-five thousand, forty".