1268002560 has 216 divisors, whose sum is σ = 4452935760. Its totient is φ = 307281920.

The previous prime is 1268002513. The next prime is 1268002597. The reversal of 1268002560 is 652008621.

1268002560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463276 + ... + 466004.

Almost surely, 2^1268002560 is an apocalyptic number.

1268002560 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 1268002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226467880).

1268002560 is an abundant number, since it is smaller than the sum of its proper divisors (3184933200).

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

1268002560 is a wasteful number, since it uses less digits than its factorization.

1268002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1268002560 is about 35609.0235754928. The cubic root of 1268002560 is about 1082.3640942548.

The spelling of 1268002560 in words is "one billion, two hundred sixty-eight million, two thousand, five hundred sixty".