164012940 has 576 divisors, whose sum is σ = 704471040. Its totient is φ = 29859840.

The previous prime is 164012929. The next prime is 164012983. The reversal of 164012940 is 49210461.

164012940 is a `hidden beast` number, since 1 + 640 + 12 + 9 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5290725 + ... + 5290755.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2^164012940 is an apocalyptic number.

164012940 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 164012940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

164012940 is an abundant number, since it is smaller than the sum of its proper divisors (540458100).

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

164012940 is a wasteful number, since it uses less digits than its factorization.

164012940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 164012940 is about 12806.7536870200. The cubic root of 164012940 is about 547.3847633869.

The spelling of 164012940 in words is "one hundred sixty-four million, twelve thousand, nine hundred forty".