166986630 has 128 divisors (see below), whose sum is σ = 480268800. Its totient is φ = 41150592.

The previous prime is 166986619. The next prime is 166986641. The reversal of 166986630 is 36689661.

166986630 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 8 + 6 + 630 = 666.

166986630 is digitally balanced in base 3, 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 (166986619) and next prime (166986641).

It is a super-3 number, since 3×166986630³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220212 + ... + 220968.

It is an arithmetic number, because the mean of its divisors is an integer number (3752100).

Almost surely, 2^166986630 is an apocalyptic number.

166986630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166986630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240134400).

166986630 is an abundant number, since it is smaller than the sum of its proper divisors (313282170).

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

166986630 is a wasteful number, since it uses less digits than its factorization.

166986630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 166986630 is about 12922.3306721350. The cubic root of 166986630 is about 550.6731482456.

The spelling of 166986630 in words is "one hundred sixty-six million, nine hundred eighty-six thousand, six hundred thirty".