164404604 has 72 divisors (see below), whose sum is σ = 364251888. Its totient is φ = 64350720.

The previous prime is 164404601. The next prime is 164404631. The reversal of 164404604 is 406404461.

It is a super-3 number, since 3×164404604³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287639 + ... + 288209.

It is an arithmetic number, because the mean of its divisors is an integer number (5059054).

Almost surely, 2^164404604 is an apocalyptic number.

164404604 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 164404604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182125944).

164404604 is an abundant number, since it is smaller than the sum of its proper divisors (199847284).

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

164404604 is a wasteful number, since it uses less digits than its factorization.

164404604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 164404604 is about 12822.0358757882. The cubic root of 164404604 is about 547.8201365072.

The spelling of 164404604 in words is "one hundred sixty-four million, four hundred four thousand, six hundred four".