164431652 has 72 divisors (see below), whose sum is σ = 372314880. Its totient is φ = 62811840.

The previous prime is 164431639. The next prime is 164431679. The reversal of 164431652 is 256134461.

It is a super-3 number, since 3×164431652³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113549 + ... + 114987.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^164431652 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 164431652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

164431652 is an abundant number, since it is smaller than the sum of its proper divisors (207883228).

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

164431652 is a wasteful number, since it uses less digits than its factorization.

164431652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1512 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 164431652 is about 12823.0905791077. The cubic root of 164431652 is about 547.8501774878.

The spelling of 164431652 in words is "one hundred sixty-four million, four hundred thirty-one thousand, six hundred fifty-two".