1081003968 has 336 divisors, whose sum is σ = 3594689280. Its totient is φ = 319334400.

The previous prime is 1081003949. The next prime is 1081003969. The reversal of 1081003968 is 8693001801.

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 (1081003969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12146068 + ... + 12146156.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 2^1081003968 is an apocalyptic number.

1081003968 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 1081003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797344640).

1081003968 is an abundant number, since it is smaller than the sum of its proper divisors (2513685312).

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

1081003968 is an equidigital number, since it uses as much as digits as its factorization.

1081003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1081003968 is about 32878.6247887590. The cubic root of 1081003968 is about 1026.3033882725.

The spelling of 1081003968 in words is "one billion, eighty-one million, three thousand, nine hundred sixty-eight".