968225280 has 320 divisors, whose sum is σ = 3444743808. Its totient is φ = 230031360.

The previous prime is 968225249. The next prime is 968225317. The reversal of 968225280 is 82522869.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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, 6166962 + ... + 6167118.

Almost surely, 2^968225280 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 968225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722371904).

968225280 is an abundant number, since it is smaller than the sum of its proper divisors (2476518528).

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

968225280 is a wasteful number, since it uses less digits than its factorization.

968225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 968225280 is about 31116.3185483116. The cubic root of 968225280 is about 989.2942219935.

The spelling of 968225280 in words is "nine hundred sixty-eight million, two hundred twenty-five thousand, two hundred eighty".