164019960 has 192 divisors, whose sum is σ = 581424480. Its totient is φ = 39859200.

The previous prime is 164019943. The next prime is 164019983. The reversal of 164019960 is 69910461.

164019960 is a `hidden beast` number, since 1 + 640 + 1 + 9 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472507 + ... + 472853.

Almost surely, 2^164019960 is an apocalyptic number.

164019960 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 164019960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290712240).

164019960 is an abundant number, since it is smaller than the sum of its proper divisors (417404520).

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

164019960 is a wasteful number, since it uses less digits than its factorization.

164019960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 164019960 is about 12807.0277582271. The cubic root of 164019960 is about 547.3925729053.

The spelling of 164019960 in words is "one hundred sixty-four million, nineteen thousand, nine hundred sixty".