1063920000 has 640 divisors, whose sum is σ = 4282629120. Its totient is φ = 230400000.

The previous prime is 1063919999. The next prime is 1063920041. The reversal of 1063920000 is 293601.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1063920000² = 2263851532800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34319985 + ... + 34320015.

It is an arithmetic number, because the mean of its divisors is an integer number (6691608).

Almost surely, 2^1063920000 is an apocalyptic number.

1063920000 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 1063920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141314560).

1063920000 is an abundant number, since it is smaller than the sum of its proper divisors (3218709120).

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

1063920000 is a wasteful number, since it uses less digits than its factorization.

1063920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1063920000 is about 32617.7865588700. The cubic root of 1063920000 is about 1020.8681574496.

The spelling of 1063920000 in words is "one billion, sixty-three million, nine hundred twenty thousand".