1260764544 has 128 divisors (see below), whose sum is σ = 3723310080. Its totient is φ = 375367680.

The previous prime is 1260764509. The next prime is 1260764579. The reversal of 1260764544 is 4454670621.

It is an interprime number because it is at equal distance from previous prime (1260764509) and next prime (1260764579).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150679 + ... + 158825.

It is an arithmetic number, because the mean of its divisors is an integer number (29088360).

Almost surely, 2^1260764544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861655040).

1260764544 is an abundant number, since it is smaller than the sum of its proper divisors (2462545536).

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

1260764544 is a wasteful number, since it uses less digits than its factorization.

1260764544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 1260764544 is about 35507.2463590180. The cubic root of 1260764544 is about 1080.3007118734.

The spelling of 1260764544 in words is "one billion, two hundred sixty million, seven hundred sixty-four thousand, five hundred forty-four".