164669760 has 140 divisors (see below), whose sum is σ = 585851508. Its totient is φ = 43905024.

The previous prime is 164669749. The next prime is 164669773. The reversal of 164669760 is 67966461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 97298496 = 8208^2 + 9864^2 .

It is a super-2 number, since 2×164669760² = 54232259716915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22744 + ... + 29096.

Almost surely, 2^164669760 is an apocalyptic number.

164669760 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 164669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292925754).

164669760 is an abundant number, since it is smaller than the sum of its proper divisors (421181748).

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

164669760 is an equidigital number, since it uses as much as digits as its factorization.

164669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 164669760 is about 12832.3715656928. The cubic root of 164669760 is about 548.1144911474.

The spelling of 164669760 in words is "one hundred sixty-four million, six hundred sixty-nine thousand, seven hundred sixty".