1319940192 has 96 divisors (see below), whose sum is σ = 3630832128. Its totient is φ = 419065856.

The previous prime is 1319940173. The next prime is 1319940211. The reversal of 1319940192 is 2910499131.

It is an interprime number because it is at equal distance from previous prime (1319940173) and next prime (1319940211).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1319940192² = 3484484220913993728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1319940192.

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 15 ways as a sum of consecutive naturals, for example, 579568 + ... + 581840.

It is an arithmetic number, because the mean of its divisors is an integer number (37821168).

Almost surely, 2^1319940192 is an apocalyptic number.

1319940192 is a gapful number since it is divisible by the number (12) 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 1319940192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815416064).

1319940192 is an abundant number, since it is smaller than the sum of its proper divisors (2310891936).

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

1319940192 is a wasteful number, since it uses less digits than its factorization.

1319940192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 1319940192 is about 36330.9811593356. The cubic root of 1319940192 is about 1096.9447427964.

The spelling of 1319940192 in words is "one billion, three hundred nineteen million, nine hundred forty thousand, one hundred ninety-two".