1260752640 has 576 divisors, whose sum is σ = 5086126080. Its totient is φ = 259522560.

The previous prime is 1260752627. The next prime is 1260752681. The reversal of 1260752640 is 462570621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14165716 + ... + 14165804.

It is an arithmetic number, because the mean of its divisors is an integer number (8830080).

Almost surely, 2^1260752640 is an apocalyptic number.

1260752640 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 1260752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543063040).

1260752640 is an abundant number, since it is smaller than the sum of its proper divisors (3825373440).

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

1260752640 is a wasteful number, since it uses less digits than its factorization.

1260752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1260752640 is about 35507.0787308672. The cubic root of 1260752640 is about 1080.2973118359.

The spelling of 1260752640 in words is "one billion, two hundred sixty million, seven hundred fifty-two thousand, six hundred forty".