164264744 has 64 divisors (see below), whose sum is σ = 376358400. Its totient is φ = 65608704.

The previous prime is 164264741. The next prime is 164264759. The reversal of 164264744 is 447462461.

It is a happy number.

164264744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164264744² = 53965812242771072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164264698 and 164264707.

It is not an unprimeable number, because it can be changed into a prime (164264741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102977 + ... + 104559.

It is an arithmetic number, because the mean of its divisors is an integer number (5880600).

Almost surely, 2^164264744 is an apocalyptic number.

164264744 is a gapful number since it is divisible by the number (14) 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 164264744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

164264744 is an abundant number, since it is smaller than the sum of its proper divisors (212093656).

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

164264744 is a wasteful number, since it uses less digits than its factorization.

164264744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1718 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The square root of 164264744 is about 12816.5808232929. The cubic root of 164264744 is about 547.6647477910.

The spelling of 164264744 in words is "one hundred sixty-four million, two hundred sixty-four thousand, seven hundred forty-four".