164162040 has 256 divisors, whose sum is σ = 609638400. Its totient is φ = 34535424.

The previous prime is 164162039. The next prime is 164162051. The reversal of 164162040 is 40261461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 164162040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560134 + ... + 560426.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^164162040 is an apocalyptic number.

164162040 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 164162040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

164162040 is an abundant number, since it is smaller than the sum of its proper divisors (445476360).

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

164162040 is a wasteful number, since it uses less digits than its factorization.

164162040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164162040 is about 12812.5735119842. The cubic root of 164162040 is about 547.5505843465.

The spelling of 164162040 in words is "one hundred sixty-four million, one hundred sixty-two thousand, forty".