1063681920 has 768 divisors, whose sum is σ = 4643758080. Its totient is φ = 218972160.

The previous prime is 1063681919. The next prime is 1063681933. The reversal of 1063681920 is 291863601.

1063681920 is a `hidden beast` number, since 1 + 0 + 636 + 8 + 19 + 2 + 0 = 666.

It is a super-2 number, since 2×1063681920² = 2262838453869772800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 28748142 + ... + 28748178.

It is an arithmetic number, because the mean of its divisors is an integer number (6046560).

It is a vampire number, since it can be written as 13020 ⋅ 81696 (with its own digits).

Almost surely, 2^1063681920 is an apocalyptic number.

1063681920 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 1063681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321879040).

1063681920 is an abundant number, since it is smaller than the sum of its proper divisors (3580076160).

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

1063681920 is a wasteful number, since it uses less digits than its factorization.

1063681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1063681920 is about 32614.1368121249. The cubic root of 1063681920 is about 1020.7920030951.

It can be divided in two parts, 1063681 and 920, that added together give a palindrome (1064601).

The spelling of 1063681920 in words is "one billion, sixty-three million, six hundred eighty-one thousand, nine hundred twenty".