164368640 has 36 divisors (see below), whose sum is σ = 393717324. Its totient is φ = 65746944.

The previous prime is 164368613. The next prime is 164368667. The reversal of 164368640 is 46863461.

It is an interprime number because it is at equal distance from previous prime (164368613) and next prime (164368667).

It can be written as a sum of positive squares in 2 ways, for example, as 85229824 + 79138816 = 9232^2 + 8896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164368594 and 164368603.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62927 + ... + 65486.

Almost surely, 2^164368640 is an apocalyptic number.

164368640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164368640 is an abundant number, since it is smaller than the sum of its proper divisors (229348684).

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

164368640 is an equidigital number, since it uses as much as digits as its factorization.

164368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128434 (or 128420 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 164368640 is about 12820.6333696897. The cubic root of 164368640 is about 547.7801878284.

The spelling of 164368640 in words is "one hundred sixty-four million, three hundred sixty-eight thousand, six hundred forty".