164065720 has 192 divisors, whose sum is σ = 475735680. Its totient is φ = 50448384.

The previous prime is 164065669. The next prime is 164065721. The reversal of 164065720 is 27560461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164065721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197492 + ... + 1197628.

It is an arithmetic number, because the mean of its divisors is an integer number (2477790).

Almost surely, 2^164065720 is an apocalyptic number.

164065720 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 164065720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237867840).

164065720 is an abundant number, since it is smaller than the sum of its proper divisors (311669960).

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

164065720 is a wasteful number, since it uses less digits than its factorization.

164065720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 164065720 is about 12808.8141527622. The cubic root of 164065720 is about 547.4434739360.

The spelling of 164065720 in words is "one hundred sixty-four million, sixty-five thousand, seven hundred twenty".