1268075652 has 48 divisors (see below), whose sum is σ = 3108037632. Its totient is φ = 401623200.

The previous prime is 1268075609. The next prime is 1268075657. The reversal of 1268075652 is 2565708621.

It is not an unprimeable number, because it can be changed into a prime (1268075657) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26463 + ... + 56889.

It is an arithmetic number, because the mean of its divisors is an integer number (64750784).

Almost surely, 2^1268075652 is an apocalyptic number.

1268075652 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 1268075652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554018816).

1268075652 is an abundant number, since it is smaller than the sum of its proper divisors (1839961980).

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

1268075652 is a wasteful number, since it uses less digits than its factorization.

1268075652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30608 (or 30606 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 1268075652 is about 35610.0498735961. The cubic root of 1268075652 is about 1082.3848909100.

The spelling of 1268075652 in words is "one billion, two hundred sixty-eight million, seventy-five thousand, six hundred fifty-two".