1264630560 has 96 divisors (see below), whose sum is σ = 4012872192. Its totient is φ = 334755840.

The previous prime is 1264630553. The next prime is 1264630583. The reversal of 1264630560 is 650364621.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56145 + ... + 75375.

It is an arithmetic number, because the mean of its divisors is an integer number (41800752).

Almost surely, 2^1264630560 is an apocalyptic number.

1264630560 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 1264630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006436096).

1264630560 is an abundant number, since it is smaller than the sum of its proper divisors (2748241632).

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

1264630560 is a wasteful number, since it uses less digits than its factorization.

1264630560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19386 (or 19378 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1264630560 is about 35561.6445064061. The cubic root of 1264630560 is about 1081.4037986755.

The spelling of 1264630560 in words is "one billion, two hundred sixty-four million, six hundred thirty thousand, five hundred sixty".