1268629992 has 192 divisors, whose sum is σ = 4162824000. Its totient is φ = 356856192.

The previous prime is 1268629991. The next prime is 1268629997. The reversal of 1268629992 is 2999268621.

It is a happy number.

1268629992 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 629 + 9 + 9 + 2 = 666.

1268629992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1268629991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708234 + ... + 710022.

It is an arithmetic number, because the mean of its divisors is an integer number (21681375).

Almost surely, 2^1268629992 is an apocalyptic number.

1268629992 is a gapful number since it is divisible by the number (12) 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 1268629992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081412000).

1268629992 is an abundant number, since it is smaller than the sum of its proper divisors (2894194008).

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

1268629992 is a wasteful number, since it uses less digits than its factorization.

1268629992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1868 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1268629992 is about 35617.8325000273. The cubic root of 1268629992 is about 1082.5425896586.

It can be divided in two parts, 1268629 and 992, that added together give a palindrome (1269621).

The spelling of 1268629992 in words is "one billion, two hundred sixty-eight million, six hundred twenty-nine thousand, nine hundred ninety-two".