1268560200 has 96 divisors (see below), whose sum is σ = 4024072800. Its totient is φ = 330408960.

The previous prime is 1268560177. The next prime is 1268560231. The reversal of 1268560200 is 20658621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216 + ... + 50384.

It is an arithmetic number, because the mean of its divisors is an integer number (41917425).

Almost surely, 2^1268560200 is an apocalyptic number.

1268560200 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 1268560200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012036400).

1268560200 is an abundant number, since it is smaller than the sum of its proper divisors (2755512600).

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

1268560200 is a wasteful number, since it uses less digits than its factorization.

1268560200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49231 (or 49222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1268560200 is about 35616.8527525945. The cubic root of 1268560200 is about 1082.5227377453.

The spelling of 1268560200 in words is "one billion, two hundred sixty-eight million, five hundred sixty thousand, two hundred".