164941680 has 80 divisors (see below), whose sum is σ = 514279584. Its totient is φ = 43729920.

The previous prime is 164941663. The next prime is 164941687. The reversal of 164941680 is 86149461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164941687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41542 + ... + 45338.

Almost surely, 2^164941680 is an apocalyptic number.

164941680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257139792).

164941680 is an abundant number, since it is smaller than the sum of its proper divisors (349337904).

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

164941680 is a wasteful number, since it uses less digits than its factorization.

164941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 164941680 is about 12842.9622751139. The cubic root of 164941680 is about 548.4160266347.

The spelling of 164941680 in words is "one hundred sixty-four million, nine hundred forty-one thousand, six hundred eighty".