166413420 has 96 divisors (see below), whose sum is σ = 531787200. Its totient is φ = 43172352.

The previous prime is 166413413. The next prime is 166413427. The reversal of 166413420 is 24314661.

166413420 is a `hidden beast` number, since 16 + 641 + 3 + 4 + 2 + 0 = 666.

166413420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166413413) and next prime (166413427).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166413427) 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, 15816 + ... + 24144.

It is an arithmetic number, because the mean of its divisors is an integer number (5539450).

Almost surely, 2^166413420 is an apocalyptic number.

166413420 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 166413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265893600).

166413420 is an abundant number, since it is smaller than the sum of its proper divisors (365373780).

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

166413420 is a wasteful number, since it uses less digits than its factorization.

166413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8384 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 166413420 is about 12900.1325574585. The cubic root of 166413420 is about 550.0423328298.

The spelling of 166413420 in words is "one hundred sixty-six million, four hundred thirteen thousand, four hundred twenty".