164866968 has 192 divisors, whose sum is σ = 548431200. Its totient is φ = 45722880.

The previous prime is 164866913. The next prime is 164866979. The reversal of 164866968 is 869668461.

It is a super-2 number, since 2×164866968² = 54362234275026048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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, 391398 + ... + 391818.

Almost surely, 2^164866968 is an apocalyptic number.

164866968 is a gapful number since it is divisible by the number (18) 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 164866968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274215600).

164866968 is an abundant number, since it is smaller than the sum of its proper divisors (383564232).

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

164866968 is a wasteful number, since it uses less digits than its factorization.

164866968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 164866968 is about 12840.0532709175. The cubic root of 164866968 is about 548.3332106031. Note that the first 3 decimals are identical.

The spelling of 164866968 in words is "one hundred sixty-four million, eight hundred sixty-six thousand, nine hundred sixty-eight".