5961003840 has 784 divisors, whose sum is σ = 24466271616. Its totient is φ = 1368576000.

The previous prime is 5961003827. The next prime is 5961003847. The reversal of 5961003840 is 483001695.

5961003840 is a `hidden beast` number, since 5 + 9 + 610 + 0 + 38 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5961003795 and 5961003804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5961003847) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 59019790 + ... + 59019890.

Almost surely, 2^5961003840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5961003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233135808).

5961003840 is an abundant number, since it is smaller than the sum of its proper divisors (18505267776).

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

5961003840 is a wasteful number, since it uses less digits than its factorization.

5961003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5961003840 is about 77207.5374558728. The cubic root of 5961003840 is about 1813.1753262457.

The spelling of 5961003840 in words is "five billion, nine hundred sixty-one million, three thousand, eight hundred forty".