1063816416 has 240 divisors, whose sum is σ = 3409127568. Its totient is φ = 323481600.

The previous prime is 1063816399. The next prime is 1063816417. The reversal of 1063816416 is 6146183601.

1063816416 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 8 + 1 + 641 + 6 = 666.

1063816416 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 2×1063816416² = 2263410733902170112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063816417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4414056 + ... + 4414296.

Almost surely, 2^1063816416 is an apocalyptic number.

1063816416 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 1063816416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704563784).

1063816416 is an abundant number, since it is smaller than the sum of its proper divisors (2345311152).

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

1063816416 is a wasteful number, since it uses less digits than its factorization.

1063816416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1063816416 is about 32616.1986748916. The cubic root of 1063816416 is about 1020.8350255602.

The spelling of 1063816416 in words is "one billion, sixty-three million, eight hundred sixteen thousand, four hundred sixteen".