1319172096 has 192 divisors, whose sum is σ = 3891888000. Its totient is φ = 394035200.

The previous prime is 1319172083. The next prime is 1319172131. The reversal of 1319172096 is 6902719131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8853430 + ... + 8853578.

It is an arithmetic number, because the mean of its divisors is an integer number (20270250).

Almost surely, 2^1319172096 is an apocalyptic number.

1319172096 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 1319172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945944000).

1319172096 is an abundant number, since it is smaller than the sum of its proper divisors (2572715904).

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

1319172096 is a wasteful number, since it uses less digits than its factorization.

1319172096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 1319172096 is about 36320.4088082720. The cubic root of 1319172096 is about 1096.7319244782.

It can be divided in two parts, 13191720 and 96, that added together give a triangular number (13191816 = T₅₁₃₆).

The spelling of 1319172096 in words is "one billion, three hundred nineteen million, one hundred seventy-two thousand, ninety-six".