968130240 has 336 divisors, whose sum is σ = 3902805504. Its totient is φ = 201062400.

The previous prime is 968130209. The next prime is 968130281. The reversal of 968130240 is 42031869.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516505 + ... + 518375.

Almost surely, 2^968130240 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 968130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951402752).

968130240 is an abundant number, since it is smaller than the sum of its proper divisors (2934675264).

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

968130240 is a wasteful number, since it uses less digits than its factorization.

968130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 968130240 is about 31114.7913378830. The cubic root of 968130240 is about 989.2618515657.

The spelling of 968130240 in words is "nine hundred sixty-eight million, one hundred thirty thousand, two hundred forty".