164036416 has 28 divisors (see below), whose sum is σ = 325932292. Its totient is φ = 81911808.

The previous prime is 164036413. The next prime is 164036419. The reversal of 164036416 is 614630461.

It is an interprime number because it is at equal distance from previous prime (164036413) and next prime (164036419).

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 161798400 = 1496^2 + 12720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164036413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76576 + ... + 78688.

It is an arithmetic number, because the mean of its divisors is an integer number (11640439).

Almost surely, 2^164036416 is an apocalyptic number.

164036416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164036416 is a deficient number, since it is larger than the sum of its proper divisors (161895876).

164036416 is a wasteful number, since it uses less digits than its factorization.

164036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 164036416 is about 12807.6702018751. The cubic root of 164036416 is about 547.4108787890.

Adding to 164036416 its reverse (614630461), we get a palindrome (778666877).

The spelling of 164036416 in words is "one hundred sixty-four million, thirty-six thousand, four hundred sixteen".