319838064 has 160 divisors (see below), whose sum is σ = 1044933120. Its totient is φ = 82031616.

The previous prime is 319838063. The next prime is 319838107. The reversal of 319838064 is 460838913.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319838063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160627 + ... + 162605.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2^319838064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319838064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522466560).

319838064 is an abundant number, since it is smaller than the sum of its proper divisors (725095056).

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

319838064 is a wasteful number, since it uses less digits than its factorization.

319838064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 319838064 is about 17884.0169984263. The cubic root of 319838064 is about 683.8749814259.

The spelling of 319838064 in words is "three hundred nineteen million, eight hundred thirty-eight thousand, sixty-four".