1032961440 has 192 divisors, whose sum is σ = 3847253760. Its totient is φ = 227942400.

The previous prime is 1032961417. The next prime is 1032961451. The reversal of 1032961440 is 441692301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1032961398 and 1032961407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92140 + ... + 102740.

It is an arithmetic number, because the mean of its divisors is an integer number (20037780).

Almost surely, 2^1032961440 is an apocalyptic number.

1032961440 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 1032961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923626880).

1032961440 is an abundant number, since it is smaller than the sum of its proper divisors (2814292320).

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

1032961440 is a wasteful number, since it uses less digits than its factorization.

1032961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10655 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1032961440 is about 32139.7174847571. The cubic root of 1032961440 is about 1010.8685924101.

The spelling of 1032961440 in words is "one billion, thirty-two million, nine hundred sixty-one thousand, four hundred forty".