164220408 has 96 divisors (see below), whose sum is σ = 513779760. Its totient is φ = 46832640.

The previous prime is 164220379. The next prime is 164220449. The reversal of 164220408 is 804022461.

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, 7366 + ... + 19562.

Almost surely, 2^164220408 is an apocalyptic number.

164220408 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 164220408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256889880).

164220408 is an abundant number, since it is smaller than the sum of its proper divisors (349559352).

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

164220408 is a wasteful number, since it uses less digits than its factorization.

164220408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12237 (or 12230 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 164220408 is about 12814.8510720960. The cubic root of 164220408 is about 547.6154707346.

Adding to 164220408 its reverse (804022461), we get a palindrome (968242869).

The spelling of 164220408 in words is "one hundred sixty-four million, two hundred twenty thousand, four hundred eight".