164298960 has 180 divisors, whose sum is σ = 641993508. Its totient is φ = 37545984.

The previous prime is 164298943. The next prime is 164298961. The reversal of 164298960 is 69892461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 126697536 = 6132^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164298961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32952 + ... + 37608.

Almost surely, 2^164298960 is an apocalyptic number.

164298960 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 164298960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320996754).

164298960 is an abundant number, since it is smaller than the sum of its proper divisors (477694548).

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

164298960 is a wasteful number, since it uses less digits than its factorization.

164298960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 164298960 is about 12817.9155871772. The cubic root of 164298960 is about 547.7027709553.

The spelling of 164298960 in words is "one hundred sixty-four million, two hundred ninety-eight thousand, nine hundred sixty".