164849328 has 180 divisors, whose sum is σ = 546893568. Its totient is φ = 46206720.

The previous prime is 164849327. The next prime is 164849353. The reversal of 164849328 is 823948461.

It is a happy number.

164849328 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (164849327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430225 + ... + 430607.

Almost surely, 2^164849328 is an apocalyptic number.

164849328 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 164849328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273446784).

164849328 is an abundant number, since it is smaller than the sum of its proper divisors (382044240).

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

164849328 is a wasteful number, since it uses less digits than its factorization.

164849328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 164849328 is about 12839.3663395045. The cubic root of 164849328 is about 548.3136535364.

The spelling of 164849328 in words is "one hundred sixty-four million, eight hundred forty-nine thousand, three hundred twenty-eight".