1082833920 has 440 divisors, whose sum is σ = 4446477024. Its totient is φ = 246841344.

The previous prime is 1082833919. The next prime is 1082833931. The reversal of 1082833920 is 293382801.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 2902854 + ... + 2903226.

Almost surely, 2^1082833920 is an apocalyptic number.

1082833920 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 1082833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223238512).

1082833920 is an abundant number, since it is smaller than the sum of its proper divisors (3363643104).

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

1082833920 is an equidigital number, since it uses as much as digits as its factorization.

1082833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 390 counting only the distinct ones).

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

The square root of 1082833920 is about 32906.4419225172. The cubic root of 1082833920 is about 1026.8821796033.

The spelling of 1082833920 in words is "one billion, eighty-two million, eight hundred thirty-three thousand, nine hundred twenty".