1306769040 has 240 divisors, whose sum is σ = 4575707136. Its totient is φ = 333849600.

The previous prime is 1306769033. The next prime is 1306769041. The reversal of 1306769040 is 409676031.

1306769040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1306768986 and 1306769004.

It is not an unprimeable number, because it can be changed into a prime (1306769041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2834410 + ... + 2834870.

Almost surely, 2^1306769040 is an apocalyptic number.

1306769040 is a gapful number since it is divisible by the number (10) 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 1306769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287853568).

1306769040 is an abundant number, since it is smaller than the sum of its proper divisors (3268938096).

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

1306769040 is a wasteful number, since it uses less digits than its factorization.

1306769040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1306769040 is about 36149.2605733506. The cubic root of 1306769040 is about 1093.2838821906.

The spelling of 1306769040 in words is "one billion, three hundred six million, seven hundred sixty-nine thousand, forty".