166440672 has 36 divisors (see below), whose sum is σ = 473316480. Its totient is φ = 55480128.

The previous prime is 166440671. The next prime is 166440683. The reversal of 166440672 is 276044661.

166440672 is a `hidden beast` number, since 1 + 6 + 644 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×166440672³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166440671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288672 + ... + 289247.

It is an arithmetic number, because the mean of its divisors is an integer number (13147680).

Almost surely, 2^166440672 is an apocalyptic number.

166440672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166440672 is an abundant number, since it is smaller than the sum of its proper divisors (306875808).

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

166440672 is a wasteful number, since it uses less digits than its factorization.

166440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577935 (or 577924 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 166440672 is about 12901.1887824340. The cubic root of 166440672 is about 550.0723563208.

The spelling of 166440672 in words is "one hundred sixty-six million, four hundred forty thousand, six hundred seventy-two".