164367424 has 56 divisors (see below), whose sum is σ = 371950488. Its totient is φ = 71393280.

The previous prime is 164367421. The next prime is 164367439. The reversal of 164367424 is 424763461.

It can be written as a sum of positive squares in 4 ways, for example, as 1345600 + 163021824 = 1160^2 + 12768^2 .

It is not an unprimeable number, because it can be changed into a prime (164367421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8334 + ... + 19954.

It is an arithmetic number, because the mean of its divisors is an integer number (6641973).

Almost surely, 2^164367424 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 164367424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185975244).

164367424 is an abundant number, since it is smaller than the sum of its proper divisors (207583064).

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

164367424 is a wasteful number, since it uses less digits than its factorization.

164367424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11663 (or 11653 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 164367424 is about 12820.5859460479. The cubic root of 164367424 is about 547.7788369982.

The spelling of 164367424 in words is "one hundred sixty-four million, three hundred sixty-seven thousand, four hundred twenty-four".