1063791456 has 576 divisors, whose sum is σ = 3984422400. Its totient is φ = 241532928.

The previous prime is 1063791433. The next prime is 1063791511. The reversal of 1063791456 is 6541973601.

1063791456 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 2×1063791456² = 2263304523717199872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36682450 + ... + 36682478.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2^1063791456 is an apocalyptic number.

1063791456 is a gapful number since it is divisible by the number (16) 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 1063791456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992211200).

1063791456 is an abundant number, since it is smaller than the sum of its proper divisors (2920630944).

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

1063791456 is a wasteful number, since it uses less digits than its factorization.

1063791456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1063791456 is about 32615.8160406880. The cubic root of 1063791456 is about 1020.8270416509.

The spelling of 1063791456 in words is "one billion, sixty-three million, seven hundred ninety-one thousand, four hundred fifty-six".