164593488 has 80 divisors (see below), whose sum is σ = 433970240. Its totient is φ = 53747712.

The previous prime is 164593469. The next prime is 164593489. The reversal of 164593488 is 884395461.

It is a super-2 number, since 2×164593488² = 54182032584012288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164593489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852720 + ... + 852912.

It is an arithmetic number, because the mean of its divisors is an integer number (5424628).

Almost surely, 2^164593488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164593488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216985120).

164593488 is an abundant number, since it is smaller than the sum of its proper divisors (269376752).

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

164593488 is a wasteful number, since it uses less digits than its factorization.

164593488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 164593488 is about 12829.3993624020. The cubic root of 164593488 is about 548.0298525659.

The spelling of 164593488 in words is "one hundred sixty-four million, five hundred ninety-three thousand, four hundred eighty-eight".