164292560 has 60 divisors (see below), whose sum is σ = 394884324. Its totient is φ = 63567360.

The previous prime is 164292553. The next prime is 164292571. The reversal of 164292560 is 65292461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28430224 + 135862336 = 5332^2 + 11656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164292560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75812 + ... + 77948.

Almost surely, 2^164292560 is an apocalyptic number.

164292560 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 164292560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197442162).

164292560 is an abundant number, since it is smaller than the sum of its proper divisors (230591764).

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

164292560 is a wasteful number, since it uses less digits than its factorization.

164292560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 164292560 is about 12817.6659341707. The cubic root of 164292560 is about 547.6956592381.

Subtracting from 164292560 its reverse (65292461), we obtain a palindrome (99000099).

The spelling of 164292560 in words is "one hundred sixty-four million, two hundred ninety-two thousand, five hundred sixty".