164649024 has 98 divisors (see below), whose sum is σ = 490002830. Its totient is φ = 54867456.

The previous prime is 164648993. The next prime is 164649047. The reversal of 164649024 is 420946461.

164649024 is a `hidden beast` number, since 1 + 6 + 4 + 649 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 57153600 = 10368^2 + 7560^2 .

It is a super-2 number, since 2×164649024² = 54218602208305152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164649024.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44892 + ... + 48420.

Almost surely, 2^164649024 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 164649024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245001415).

164649024 is an abundant number, since it is smaller than the sum of its proper divisors (325353806).

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

164649024 is an frugal number, since it uses more digits than its factorization.

164649024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 164649024 is about 12831.5635836012. The cubic root of 164649024 is about 548.0914831197.

The spelling of 164649024 in words is "one hundred sixty-four million, six hundred forty-nine thousand, twenty-four".