1084890240 has 256 divisors, whose sum is σ = 4391712000. Its totient is φ = 247947264.

The previous prime is 1084890211. The next prime is 1084890251. The reversal of 1084890240 is 420984801.

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 = 1084890195 and 1084890204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116476 + ... + 125444.

It is an arithmetic number, because the mean of its divisors is an integer number (17155125).

Almost surely, 2^1084890240 is an apocalyptic number.

1084890240 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 1084890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195856000).

1084890240 is an abundant number, since it is smaller than the sum of its proper divisors (3306821760).

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

1084890240 is an equidigital number, since it uses as much as digits as its factorization.

1084890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 8986 counting only the distinct ones).

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

The square root of 1084890240 is about 32937.6720488865. The cubic root of 1084890240 is about 1027.5317908007.

The spelling of 1084890240 in words is "one billion, eighty-four million, eight hundred ninety thousand, two hundred forty".