164497968 has 90 divisors (see below), whose sum is σ = 469561092. Its totient is φ = 53758080.

The previous prime is 164497961. The next prime is 164497969. The reversal of 164497968 is 869794461.

164497968 is a `hidden beast` number, since 1 + 64 + 497 + 96 + 8 = 666.

It is a super-2 number, since 2×164497968² = 54119162952258048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164497961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 535671 + ... + 535977.

Almost surely, 2^164497968 is an apocalyptic number.

164497968 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 164497968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234780546).

164497968 is an abundant number, since it is smaller than the sum of its proper divisors (305063124).

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

164497968 is a wasteful number, since it uses less digits than its factorization.

164497968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 373 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 164497968 is about 12825.6761225286. The cubic root of 164497968 is about 547.9238177082.

The spelling of 164497968 in words is "one hundred sixty-four million, four hundred ninety-seven thousand, nine hundred sixty-eight".