1062125568 has 300 divisors, whose sum is σ = 3671214680. Its totient is φ = 303464448.

The previous prime is 1062125563. The next prime is 1062125569. The reversal of 1062125568 is 8655212601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1062125568 is a `hidden beast` number, since 1 + 0 + 621 + 25 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×1062125568² = 2256221444398645248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1062125563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151732221 + ... + 151732227.

Almost surely, 2^1062125568 is an apocalyptic number.

1062125568 is a gapful number since it is divisible by the number (18) 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 1062125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835607340).

1062125568 is an abundant number, since it is smaller than the sum of its proper divisors (2609089112).

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

1062125568 is an frugal number, since it uses more digits than its factorization.

1062125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1062125568 is about 32590.2679952160. The cubic root of 1062125568 is about 1020.2938945502.

The spelling of 1062125568 in words is "one billion, sixty-two million, one hundred twenty-five thousand, five hundred sixty-eight".