1084616820 has 144 divisors (see below), whose sum is σ = 3889791360. Its totient is φ = 239355648.

The previous prime is 1084616801. The next prime is 1084616839. The reversal of 1084616820 is 286164801.

1084616820 is a `hidden beast` number, since 10 + 8 + 4 + 616 + 8 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1084616801) and next prime (1084616839).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21699 + ... + 51381.

It is an arithmetic number, because the mean of its divisors is an integer number (27012440).

Almost surely, 2^1084616820 is an apocalyptic number.

1084616820 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 1084616820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944895680).

1084616820 is an abundant number, since it is smaller than the sum of its proper divisors (2805174540).

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

1084616820 is a wasteful number, since it uses less digits than its factorization.

1084616820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29734 (or 29729 counting only the distinct ones).

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

The square root of 1084616820 is about 32933.5212207866. The cubic root of 1084616820 is about 1027.4454621452.

The spelling of 1084616820 in words is "one billion, eighty-four million, six hundred sixteen thousand, eight hundred twenty".