164600772 has 48 divisors (see below), whose sum is σ = 442845312. Its totient is φ = 46609920.

The previous prime is 164600771. The next prime is 164600801. The reversal of 164600772 is 277006461.

164600772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (164600771) 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, 822 + ... + 18162.

It is an arithmetic number, because the mean of its divisors is an integer number (9225944).

Almost surely, 2^164600772 is an apocalyptic number.

164600772 is a gapful number since it is divisible by the number (12) 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 164600772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221422656).

164600772 is an abundant number, since it is smaller than the sum of its proper divisors (278244540).

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

164600772 is a wasteful number, since it uses less digits than its factorization.

164600772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17468 (or 17466 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 164600772 is about 12829.6832384903. The cubic root of 164600772 is about 548.0379367063.

The spelling of 164600772 in words is "one hundred sixty-four million, six hundred thousand, seven hundred seventy-two".