1340196768 has 144 divisors (see below), whose sum is σ = 4248054720. Its totient is φ = 398297088.

The previous prime is 1340196731. The next prime is 1340196769. The reversal of 1340196768 is 8676910431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1340196768² = 3592254753915291648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340196769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85821 + ... + 100227.

It is an arithmetic number, because the mean of its divisors is an integer number (29500380).

Almost surely, 2^1340196768 is an apocalyptic number.

1340196768 is a gapful number since it is divisible by the number (18) 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 1340196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124027360).

1340196768 is an abundant number, since it is smaller than the sum of its proper divisors (2907857952).

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

1340196768 is a wasteful number, since it uses less digits than its factorization.

1340196768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14459 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1340196768 is about 36608.6979828565. The cubic root of 1340196768 is about 1102.5277318830.

It can be divided in two parts, 1340196 and 768, that added together give a square (1340964 = 1158²).

The spelling of 1340196768 in words is "one billion, three hundred forty million, one hundred ninety-six thousand, seven hundred sixty-eight".