1268201844 has 144 divisors (see below), whose sum is σ = 4000319232. Its totient is φ = 329826816.

The previous prime is 1268201843. The next prime is 1268201939. The reversal of 1268201844 is 4481028621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1268201799 and 1268201808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268201843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236497 + ... + 241799.

Almost surely, 2^1268201844 is an apocalyptic number.

1268201844 is a gapful number since it is divisible by the number (14) 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 1268201844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000159616).

1268201844 is an abundant number, since it is smaller than the sum of its proper divisors (2732117388).

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

1268201844 is a wasteful number, since it uses less digits than its factorization.

1268201844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1268201844 is about 35611.8216888718. The cubic root of 1268201844 is about 1082.4207940738.

The spelling of 1268201844 in words is "one billion, two hundred sixty-eight million, two hundred one thousand, eight hundred forty-four".