164336040 has 384 divisors, whose sum is σ = 636854400. Its totient is φ = 37739520.

The previous prime is 164336023. The next prime is 164336041. The reversal of 164336040 is 40633461.

164336040 is a `hidden beast` number, since 16 + 43 + 3 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 164335995 and 164336013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164336041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3100654 + ... + 3100706.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2^164336040 is an apocalyptic number.

164336040 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 164336040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

164336040 is an abundant number, since it is smaller than the sum of its proper divisors (472518360).

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

164336040 is a wasteful number, since it uses less digits than its factorization.

164336040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 164336040 is about 12819.3619185980. The cubic root of 164336040 is about 547.7439708329.

The spelling of 164336040 in words is "one hundred sixty-four million, three hundred thirty-six thousand, forty".