1319672016 has 240 divisors, whose sum is σ = 4153234176. Its totient is φ = 388537344.

The previous prime is 1319672009. The next prime is 1319672033. The reversal of 1319672016 is 6102769131.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 4663011 + ... + 4663293.

Almost surely, 2^1319672016 is an apocalyptic number.

1319672016 is a gapful number since it is divisible by the number (16) 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 1319672016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076617088).

1319672016 is an abundant number, since it is smaller than the sum of its proper divisors (2833562160).

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

1319672016 is a wasteful number, since it uses less digits than its factorization.

1319672016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1319672016 is about 36327.2902375060. The cubic root of 1319672016 is about 1096.8704479710.

The spelling of 1319672016 in words is "one billion, three hundred nineteen million, six hundred seventy-two thousand, sixteen".