166593420 has 144 divisors (see below), whose sum is σ = 583302720. Its totient is φ = 37698048.

The previous prime is 166593407. The next prime is 166593433. The reversal of 166593420 is 24395661.

It is a happy number.

166593420 is a `hidden beast` number, since 1 + 66 + 593 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166593407) and next prime (166593433).

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

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 47 ways as a sum of consecutive naturals, for example, 136734 + ... + 137946.

Almost surely, 2^166593420 is an apocalyptic number.

166593420 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 166593420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291651360).

166593420 is an abundant number, since it is smaller than the sum of its proper divisors (416709300).

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

166593420 is a wasteful number, since it uses less digits than its factorization.

166593420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 166593420 is about 12907.1073444053. The cubic root of 166593420 is about 550.2405779480.

The spelling of 166593420 in words is "one hundred sixty-six million, five hundred ninety-three thousand, four hundred twenty".