1083358640 has 160 divisors (see below), whose sum is σ = 3164380800. Its totient is φ = 342752256.

The previous prime is 1083358613. The next prime is 1083358651. The reversal of 1083358640 is 468533801.

It is a super-3 number, since 3×1083358640³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1083358594 and 1083358603.

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 31 ways as a sum of consecutive naturals, for example, 355202 + ... + 358238.

It is an arithmetic number, because the mean of its divisors is an integer number (19777380).

Almost surely, 2^1083358640 is an apocalyptic number.

1083358640 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 1083358640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582190400).

1083358640 is an abundant number, since it is smaller than the sum of its proper divisors (2081022160).

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

1083358640 is a wasteful number, since it uses less digits than its factorization.

1083358640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 1083358640 is about 32914.4138638378. The cubic root of 1083358640 is about 1027.0480217809.

The spelling of 1083358640 in words is "one billion, eighty-three million, three hundred fifty-eight thousand, six hundred forty".