164097632 has 48 divisors (see below), whose sum is σ = 341332992. Its totient is φ = 77535360.

The previous prime is 164097613. The next prime is 164097653. The reversal of 164097632 is 236790461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40733 + ... + 44579.

It is an arithmetic number, because the mean of its divisors is an integer number (7111104).

Almost surely, 2^164097632 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 164097632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170666496).

164097632 is an abundant number, since it is smaller than the sum of its proper divisors (177235360).

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

164097632 is a wasteful number, since it uses less digits than its factorization.

164097632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 164097632 is about 12810.0597968940. The cubic root of 164097632 is about 547.4789655743.

The spelling of 164097632 in words is "one hundred sixty-four million, ninety-seven thousand, six hundred thirty-two".