164220364 has 72 divisors (see below), whose sum is σ = 371165760. Its totient is φ = 62848800.

The previous prime is 164220313. The next prime is 164220377. The reversal of 164220364 is 463022461.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 126559 + ... + 127849.

It is an arithmetic number, because the mean of its divisors is an integer number (5155080).

Almost surely, 2^164220364 is an apocalyptic number.

164220364 is a gapful number since it is divisible by the number (14) 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 164220364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185582880).

164220364 is an abundant number, since it is smaller than the sum of its proper divisors (206945396).

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

164220364 is a wasteful number, since it uses less digits than its factorization.

164220364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 164220364 is about 12814.8493553377. The cubic root of 164220364 is about 547.6154218266.

The spelling of 164220364 in words is "one hundred sixty-four million, two hundred twenty thousand, three hundred sixty-four".