166303656 has 96 divisors (see below), whose sum is σ = 502070400. Its totient is φ = 49420800.

The previous prime is 166303633. The next prime is 166303679. The reversal of 166303656 is 656303661.

It is a happy number.

166303656 is a `hidden beast` number, since 16 + 630 + 3 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (166303633) and next prime (166303679).

It is a super-3 number, since 3×166303656³ (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 self number, because there is not a number n which added to its sum of digits gives 166303656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19681 + ... + 26831.

It is an arithmetic number, because the mean of its divisors is an integer number (5229900).

Almost surely, 2^166303656 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 166303656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251035200).

166303656 is an abundant number, since it is smaller than the sum of its proper divisors (335766744).

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

166303656 is a wasteful number, since it uses less digits than its factorization.

166303656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7199 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 166303656 is about 12895.8774808076. The cubic root of 166303656 is about 549.9213727821.

The spelling of 166303656 in words is "one hundred sixty-six million, three hundred three thousand, six hundred fifty-six".