1260344640 has 224 divisors, whose sum is σ = 4384730880. Its totient is φ = 305299456.

The previous prime is 1260344629. The next prime is 1260344647. The reversal of 1260344640 is 464430621.

It is a super-2 number, since 2×1260344640² = 3176937223153459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1260344598 and 1260344607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260344647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471949 + ... + 474611.

Almost surely, 2^1260344640 is an apocalyptic number.

1260344640 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 1260344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192365440).

1260344640 is an abundant number, since it is smaller than the sum of its proper divisors (3124386240).

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

1260344640 is a wasteful number, since it uses less digits than its factorization.

1260344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1260344640 is about 35501.3329327224. The cubic root of 1260344640 is about 1080.1807653531.

The spelling of 1260344640 in words is "one billion, two hundred sixty million, three hundred forty-four thousand, six hundred forty".