164747268 has 72 divisors (see below), whose sum is σ = 491312640. Its totient is φ = 45550080.

The previous prime is 164747257. The next prime is 164747269. The reversal of 164747268 is 862747461.

It is not an unprimeable number, because it can be changed into a prime (164747269) 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 23 ways as a sum of consecutive naturals, for example, 2733 + ... + 18356.

Almost surely, 2^164747268 is an apocalyptic number.

164747268 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 164747268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245656320).

164747268 is an abundant number, since it is smaller than the sum of its proper divisors (326565372).

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

164747268 is a wasteful number, since it uses less digits than its factorization.

164747268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21137 (or 21132 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 164747268 is about 12835.3912289420. The cubic root of 164747268 is about 548.2004745408.

The spelling of 164747268 in words is "one hundred sixty-four million, seven hundred forty-seven thousand, two hundred sixty-eight".