1268421000 has 768 divisors, whose sum is σ = 5517158400. Its totient is φ = 235008000.

The previous prime is 1268420987. The next prime is 1268421041. The reversal of 1268421000 is 1248621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 66758991 + ... + 66759009.

It is an arithmetic number, because the mean of its divisors is an integer number (7183800).

Almost surely, 2^1268421000 is an apocalyptic number.

1268421000 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 1268421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758579200).

1268421000 is an abundant number, since it is smaller than the sum of its proper divisors (4248737400).

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

1268421000 is a wasteful number, since it uses less digits than its factorization.

1268421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1268421000 is about 35614.8985678747. The cubic root of 1268421000 is about 1082.4831409706.

Adding to 1268421000 its reverse (1248621), we get a palindrome (1269669621).

The spelling of 1268421000 in words is "one billion, two hundred sixty-eight million, four hundred twenty-one thousand".