319683840 has 216 divisors, whose sum is σ = 1188381600. Its totient is φ = 73027584.

The previous prime is 319683823. The next prime is 319683869. The reversal of 319683840 is 48386913.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 319683792 and 319683801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187311 + ... + 189009.

Almost surely, 2^319683840 is an apocalyptic number.

319683840 is a gapful number since it is divisible by the number (30) 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 319683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594190800).

319683840 is an abundant number, since it is smaller than the sum of its proper divisors (868697760).

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

319683840 is a wasteful number, since it uses less digits than its factorization.

319683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1716 counting only the distinct ones).

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

The square root of 319683840 is about 17879.7046955480. The cubic root of 319683840 is about 683.7650436127.

The spelling of 319683840 in words is "three hundred nineteen million, six hundred eighty-three thousand, eight hundred forty".