164353640 has 64 divisors (see below), whose sum is σ = 409173120. Its totient is φ = 58912000.

The previous prime is 164353639. The next prime is 164353663. The reversal of 164353640 is 46353461.

It is a junction number, because it is equal to n+sod(n) for n = 164353597 and 164353606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28610 + ... + 33870.

It is an arithmetic number, because the mean of its divisors is an integer number (6393330).

Almost surely, 2^164353640 is an apocalyptic number.

164353640 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 164353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204586560).

164353640 is an abundant number, since it is smaller than the sum of its proper divisors (244819480).

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

164353640 is a wasteful number, since it uses less digits than its factorization.

164353640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 164353640 is about 12820.0483618433. The cubic root of 164353640 is about 547.7635241615.

The spelling of 164353640 in words is "one hundred sixty-four million, three hundred fifty-three thousand, six hundred forty".