1268923520 has 128 divisors (see below), whose sum is σ = 3232535040. Its totient is φ = 474660864.

The previous prime is 1268923511. The next prime is 1268923529. The reversal of 1268923520 is 253298621.

It is an interprime number because it is at equal distance from previous prime (1268923511) and next prime (1268923529).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1268923520² = 3220333799218380800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268923529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2425979 + ... + 2426501.

It is an arithmetic number, because the mean of its divisors is an integer number (25254180).

Almost surely, 2^1268923520 is an apocalyptic number.

1268923520 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 1268923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616267520).

1268923520 is an abundant number, since it is smaller than the sum of its proper divisors (1963611520).

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

1268923520 is a wasteful number, since it uses less digits than its factorization.

1268923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 1268923520 is about 35621.9527819574. The cubic root of 1268923520 is about 1082.6260739578.

The spelling of 1268923520 in words is "one billion, two hundred sixty-eight million, nine hundred twenty-three thousand, five hundred twenty".