319045632 has 60 divisors (see below), whose sum is σ = 850893456. Its totient is φ = 106332160.

The previous prime is 319045621. The next prime is 319045633. The reversal of 319045632 is 236540913.

It is a junction number, because it is equal to n+sod(n) for n = 319045593 and 319045602.

It is not an unprimeable number, because it can be changed into a prime (319045633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45907 + ... + 52397.

Almost surely, 2^319045632 is an apocalyptic number.

319045632 is a gapful number since it is divisible by the number (32) 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 319045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425446728).

319045632 is an abundant number, since it is smaller than the sum of its proper divisors (531847824).

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

319045632 is an frugal number, since it uses more digits than its factorization.

319045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 319045632 is about 17861.8485045641. The cubic root of 319045632 is about 683.3097239249.

The spelling of 319045632 in words is "three hundred nineteen million, forty-five thousand, six hundred thirty-two".