1268613840 has 160 divisors (see below), whose sum is σ = 4253227776. Its totient is φ = 310947840.

The previous prime is 1268613839. The next prime is 1268613847. The reversal of 1268613840 is 483168621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268613847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875997 + ... + 877443.

Almost surely, 2^1268613840 is an apocalyptic number.

1268613840 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 1268613840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126613888).

1268613840 is an abundant number, since it is smaller than the sum of its proper divisors (2984613936).

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

1268613840 is a wasteful number, since it uses less digits than its factorization.

1268613840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1268613840 is about 35617.6057589502. The cubic root of 1268613840 is about 1082.5379953844.

The spelling of 1268613840 in words is "one billion, two hundred sixty-eight million, six hundred thirteen thousand, eight hundred forty".