1068251520 has 256 divisors, whose sum is σ = 3958318080. Its totient is φ = 239984640.

The previous prime is 1068251519. The next prime is 1068251533. The reversal of 1068251520 is 251528601.

1068251520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1068251520² = 2282322619964620800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819189 + ... + 820491.

It is an arithmetic number, because the mean of its divisors is an integer number (15462180).

Almost surely, 2^1068251520 is an apocalyptic number.

1068251520 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 1068251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979159040).

1068251520 is an abundant number, since it is smaller than the sum of its proper divisors (2890066560).

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

1068251520 is a wasteful number, since it uses less digits than its factorization.

1068251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1068251520 is about 32684.1172437011. The cubic root of 1068251520 is about 1022.2516961326.

It can be divided in two parts, 106825 and 1520, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 1068251520 in words is "one billion, sixty-eight million, two hundred fifty-one thousand, five hundred twenty".