166414644 has 144 divisors (see below), whose sum is σ = 487206720. Its totient is φ = 47416320.

The previous prime is 166414621. The next prime is 166414679. The reversal of 166414644 is 446414661.

166414644 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 1 + 4 + 644 = 666.

166414644 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 166414599 and 166414608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493644 + ... + 493980.

It is an arithmetic number, because the mean of its divisors is an integer number (3383380).

Almost surely, 2^166414644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166414644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243603360).

166414644 is an abundant number, since it is smaller than the sum of its proper divisors (320792076).

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

166414644 is a wasteful number, since it uses less digits than its factorization.

166414644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 166414644 is about 12900.1799987442. The cubic root of 166414644 is about 550.0436813792.

The spelling of 166414644 in words is "one hundred sixty-six million, four hundred fourteen thousand, six hundred forty-four".