1083831840 has 480 divisors, whose sum is σ = 4712843520. Its totient is φ = 228427776.

The previous prime is 1083831823. The next prime is 1083831841. The reversal of 1083831840 is 481383801.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 1083831795 and 1083831804.

It is not an unprimeable number, because it can be changed into a prime (1083831841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1178901 + ... + 1179819.

It is an arithmetic number, because the mean of its divisors is an integer number (9818424).

Almost surely, 2^1083831840 is an apocalyptic number.

1083831840 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 1083831840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356421760).

1083831840 is an abundant number, since it is smaller than the sum of its proper divisors (3629011680).

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

1083831840 is a wasteful number, since it uses less digits than its factorization.

1083831840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1083831840 is about 32921.6014191291. The cubic root of 1083831840 is about 1027.1975347133.

The spelling of 1083831840 in words is "one billion, eighty-three million, eight hundred thirty-one thousand, eight hundred forty".