1084113648 has 120 divisors (see below), whose sum is σ = 3268362240. Its totient is φ = 334477440.

The previous prime is 1084113631. The next prime is 1084113649. The reversal of 1084113648 is 8463114801.

It is a happy number.

1084113648 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 1 + 1 + 3 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084113649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97393 + ... + 107951.

It is an arithmetic number, because the mean of its divisors is an integer number (27236352).

Almost surely, 2^1084113648 is an apocalyptic number.

1084113648 is a gapful number since it is divisible by the number (18) 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 1084113648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634181120).

1084113648 is an abundant number, since it is smaller than the sum of its proper divisors (2184248592).

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

1084113648 is a wasteful number, since it uses less digits than its factorization.

1084113648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10618 counting only the distinct ones).

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

The square root of 1084113648 is about 32925.8811271620. The cubic root of 1084113648 is about 1027.2865544877.

The spelling of 1084113648 in words is "one billion, eighty-four million, one hundred thirteen thousand, six hundred forty-eight".