1083123360 has 384 divisors, whose sum is σ = 4319723520. Its totient is φ = 250905600.

The previous prime is 1083123359. The next prime is 1083123401. The reversal of 1083123360 is 633213801.

It is a happy number.

1083123360 is a `hidden beast` number, since 10 + 8 + 312 + 336 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092465 + ... + 1093455.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^1083123360 is an apocalyptic number.

1083123360 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 1083123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159861760).

1083123360 is an abundant number, since it is smaller than the sum of its proper divisors (3236600160).

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

1083123360 is a wasteful number, since it uses less digits than its factorization.

1083123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1083123360 is about 32910.8395517343. The cubic root of 1083123360 is about 1026.9736661782.

It can be divided in two parts, 10831 and 23360, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 1083123360 in words is "one billion, eighty-three million, one hundred twenty-three thousand, three hundred sixty".