1084985440 has 288 divisors, whose sum is σ = 3400475904. Its totient is φ = 322882560.

The previous prime is 1084985437. The next prime is 1084985453. The reversal of 1084985440 is 445894801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1983247 + ... + 1983793.

It is an arithmetic number, because the mean of its divisors is an integer number (11807208).

Almost surely, 2^1084985440 is an apocalyptic number.

1084985440 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 1084985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700237952).

1084985440 is an abundant number, since it is smaller than the sum of its proper divisors (2315490464).

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

1084985440 is a wasteful number, since it uses less digits than its factorization.

1084985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 1084985440 is about 32939.1171709261. The cubic root of 1084985440 is about 1027.5618455048.

The spelling of 1084985440 in words is "one billion, eighty-four million, nine hundred eighty-five thousand, four hundred forty".