164246940 has 240 divisors, whose sum is σ = 606180960. Its totient is φ = 36702720.

The previous prime is 164246939. The next prime is 164246983. The reversal of 164246940 is 49642461.

164246940 is a `hidden beast` number, since 1 + 642 + 4 + 6 + 9 + 4 + 0 = 666.

164246940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 164246895 and 164246904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231306 + ... + 232014.

It is an arithmetic number, because the mean of its divisors is an integer number (2525754).

Almost surely, 2^164246940 is an apocalyptic number.

164246940 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 164246940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303090480).

164246940 is an abundant number, since it is smaller than the sum of its proper divisors (441934020).

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

164246940 is a wasteful number, since it uses less digits than its factorization.

164246940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 164246940 is about 12815.8862354501. The cubic root of 164246940 is about 547.6449606773.

The spelling of 164246940 in words is "one hundred sixty-four million, two hundred forty-six thousand, nine hundred forty".