1296734040 has 576 divisors, whose sum is σ = 5329864800. Its totient is φ = 271724544.

The previous prime is 1296734029. The next prime is 1296734057. The reversal of 1296734040 is 404376921.

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 = 1296733986 and 1296734004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17763444 + ... + 17763516.

Almost surely, 2^1296734040 is an apocalyptic number.

1296734040 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 1296734040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664932400).

1296734040 is an abundant number, since it is smaller than the sum of its proper divisors (4033130760).

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

1296734040 is a wasteful number, since it uses less digits than its factorization.

1296734040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1296734040 is about 36010.1935568250. The cubic root of 1296734040 is about 1090.4781562325.

The spelling of 1296734040 in words is "one billion, two hundred ninety-six million, seven hundred thirty-four thousand, forty".