164768418 has 80 divisors (see below), whose sum is σ = 392040000. Its totient is φ = 51578208.

The previous prime is 164768411. The next prime is 164768431. The reversal of 164768418 is 814867461.

164768418 is a `hidden beast` number, since 164 + 76 + 8 + 418 = 666.

It is not an unprimeable number, because it can be changed into a prime (164768411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 612388 + ... + 612656.

It is an arithmetic number, because the mean of its divisors is an integer number (4900500).

Almost surely, 2^164768418 is an apocalyptic number.

164768418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164768418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196020000).

164768418 is an abundant number, since it is smaller than the sum of its proper divisors (227271582).

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

164768418 is a wasteful number, since it uses less digits than its factorization.

164768418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 164768418 is about 12836.2150963592. The cubic root of 164768418 is about 548.2239325806.

The spelling of 164768418 in words is "one hundred sixty-four million, seven hundred sixty-eight thousand, four hundred eighteen".