1268792640 has 448 divisors, whose sum is σ = 4828032000. Its totient is φ = 312698880.

The previous prime is 1268792639. The next prime is 1268792647. The reversal of 1268792640 is 462978621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268792647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9685375 + ... + 9685505.

Almost surely, 2^1268792640 is an apocalyptic number.

1268792640 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 1268792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414016000).

1268792640 is an abundant number, since it is smaller than the sum of its proper divisors (3559239360).

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

1268792640 is a wasteful number, since it uses less digits than its factorization.

1268792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1268792640 is about 35620.1156651687. The cubic root of 1268792640 is about 1082.5888510755.

The spelling of 1268792640 in words is "one billion, two hundred sixty-eight million, seven hundred ninety-two thousand, six hundred forty".