1063406880 has 216 divisors, whose sum is σ = 3771976572. Its totient is φ = 283295232.

The previous prime is 1063406879. The next prime is 1063406921. The reversal of 1063406880 is 886043601.

It is a happy number.

1063406880 is a `hidden beast` number, since 10 + 634 + 0 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 869306256 + 194100624 = 29484^2 + 13932^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1063406880² = 2261668384862668800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049254 + ... + 1050266.

Almost surely, 2^1063406880 is an apocalyptic number.

1063406880 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 1063406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885988286).

1063406880 is an abundant number, since it is smaller than the sum of its proper divisors (2708569692).

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

1063406880 is an frugal number, since it uses more digits than its factorization.

1063406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1063406880 is about 32609.9199631033. The cubic root of 1063406880 is about 1020.7040122432.

The spelling of 1063406880 in words is "one billion, sixty-three million, four hundred six thousand, eight hundred eighty".