968263140 has 96 divisors (see below), whose sum is σ = 2926828800. Its totient is φ = 237758976.

The previous prime is 968263111. The next prime is 968263147. The reversal of 968263140 is 41362869.

It is a super-3 number, since 3×968263140³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (968263147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378586 + ... + 381134.

It is an arithmetic number, because the mean of its divisors is an integer number (30487800).

Almost surely, 2^968263140 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 968263140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463414400).

968263140 is an abundant number, since it is smaller than the sum of its proper divisors (1958565660).

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

968263140 is a wasteful number, since it uses less digits than its factorization.

968263140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 968263140 is about 31116.9269048214. The cubic root of 968263140 is about 989.3071164413.

The spelling of 968263140 in words is "nine hundred sixty-eight million, two hundred sixty-three thousand, one hundred forty".