164620368 has 120 divisors (see below), whose sum is σ = 507973440. Its totient is φ = 49351680.

The previous prime is 164620343. The next prime is 164620373. The reversal of 164620368 is 863026461.

164620368 is a `hidden beast` number, since 1 + 646 + 2 + 0 + 3 + 6 + 8 = 666.

164620368 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162648 + ... + 163656.

It is an arithmetic number, because the mean of its divisors is an integer number (4233112).

Almost surely, 2^164620368 is an apocalyptic number.

164620368 is a gapful number since it is divisible by the number (18) 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 164620368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253986720).

164620368 is an abundant number, since it is smaller than the sum of its proper divisors (343353072).

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

164620368 is a wasteful number, since it uses less digits than its factorization.

164620368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1128 counting only the distinct ones).

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

The square root of 164620368 is about 12830.4469134945. The cubic root of 164620368 is about 548.0596841240.

The spelling of 164620368 in words is "one hundred sixty-four million, six hundred twenty thousand, three hundred sixty-eight".