1081339920 has 240 divisors, whose sum is σ = 3791810880. Its totient is φ = 275917824.

The previous prime is 1081339891. The next prime is 1081339933. The reversal of 1081339920 is 299331801.

It is a tau number, because it is divible by the number of its divisors (240).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640551 + ... + 1641209.

It is an arithmetic number, because the mean of its divisors is an integer number (15799212).

Almost surely, 2^1081339920 is an apocalyptic number.

1081339920 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 1081339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895905440).

1081339920 is an abundant number, since it is smaller than the sum of its proper divisors (2710470960).

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

1081339920 is a wasteful number, since it uses less digits than its factorization.

1081339920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1081339920 is about 32883.7333646896. The cubic root of 1081339920 is about 1026.4096946860.

The spelling of 1081339920 in words is "one billion, eighty-one million, three hundred thirty-nine thousand, nine hundred twenty".