1268041820 has 48 divisors (see below), whose sum is σ = 2762151840. Its totient is φ = 488404224.

The previous prime is 1268041793. The next prime is 1268041823. The reversal of 1268041820 is 281408621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268041823) 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, 227507 + ... + 233013.

It is an arithmetic number, because the mean of its divisors is an integer number (57544830).

Almost surely, 2^1268041820 is an apocalyptic number.

1268041820 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 1268041820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381075920).

1268041820 is an abundant number, since it is smaller than the sum of its proper divisors (1494110020).

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

1268041820 is a wasteful number, since it uses less digits than its factorization.

1268041820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1268041820 is about 35609.5748359904. The cubic root of 1268041820 is about 1082.3752648883.

The spelling of 1268041820 in words is "one billion, two hundred sixty-eight million, forty-one thousand, eight hundred twenty".