164872368 has 80 divisors (see below), whose sum is σ = 479334400. Its totient is φ = 54250560.

The previous prime is 164872361. The next prime is 164872369. The reversal of 164872368 is 863278461.

It is not an unprimeable number, because it can be changed into a prime (164872361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31713 + ... + 36543.

It is an arithmetic number, because the mean of its divisors is an integer number (5991680).

Almost surely, 2^164872368 is an apocalyptic number.

164872368 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 164872368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239667200).

164872368 is an abundant number, since it is smaller than the sum of its proper divisors (314462032).

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

164872368 is a wasteful number, since it uses less digits than its factorization.

164872368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4915 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 164872368 is about 12840.2635486971. The cubic root of 164872368 is about 548.3391971813.

The spelling of 164872368 in words is "one hundred sixty-four million, eight hundred seventy-two thousand, three hundred sixty-eight".