1264963760 has 80 divisors (see below), whose sum is σ = 3202696800. Its totient is φ = 462809088.

The previous prime is 1264963759. The next prime is 1264963769. The reversal of 1264963760 is 673694621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1264963760² = 3200266628226675200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1264963769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29732 + ... + 58428.

It is an arithmetic number, because the mean of its divisors is an integer number (40033710).

Almost surely, 2^1264963760 is an apocalyptic number.

1264963760 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 1264963760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601348400).

1264963760 is an abundant number, since it is smaller than the sum of its proper divisors (1937733040).

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

1264963760 is a wasteful number, since it uses less digits than its factorization.

1264963760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28758 (or 28752 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 1264963760 is about 35566.3290205779. The cubic root of 1264963760 is about 1081.4987650412.

The spelling of 1264963760 in words is "one billion, two hundred sixty-four million, nine hundred sixty-three thousand, seven hundred sixty".