164384640 has 384 divisors, whose sum is σ = 677214720. Its totient is φ = 37324800.

The previous prime is 164384629. The next prime is 164384677. The reversal of 164384640 is 46483461.

164384640 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 164384595 and 164384604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088565 + ... + 1088715.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 2^164384640 is an apocalyptic number.

164384640 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 164384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338607360).

164384640 is an abundant number, since it is smaller than the sum of its proper divisors (512830080).

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

164384640 is an equidigital number, since it uses as much as digits as its factorization.

164384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 164384640 is about 12821.2573486378. The cubic root of 164384640 is about 547.7979612890.

The spelling of 164384640 in words is "one hundred sixty-four million, three hundred eighty-four thousand, six hundred forty".