1268127720 has 96 divisors (see below), whose sum is σ = 4162340520. Its totient is φ = 334809600.

The previous prime is 1268127709. The next prime is 1268127739. The reversal of 1268127720 is 277218621.

It can be written as a sum of positive squares in 4 ways, for example, as 1267217604 + 910116 = 35598^2 + 954^2 .

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

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, 18922 + ... + 53798.

Almost surely, 2^1268127720 is an apocalyptic number.

1268127720 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 1268127720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081170260).

1268127720 is an abundant number, since it is smaller than the sum of its proper divisors (2894212800).

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

1268127720 is a wasteful number, since it uses less digits than its factorization.

1268127720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34995 (or 34988 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1268127720 is about 35610.7809518410. The cubic root of 1268127720 is about 1082.3997051800.

Subtracting from 1268127720 its reverse (277218621), we obtain a palindrome (990909099).

It can be divided in two parts, 12681 and 27720, that added together give a square (40401 = 201²).

The spelling of 1268127720 in words is "one billion, two hundred sixty-eight million, one hundred twenty-seven thousand, seven hundred twenty".