960112440 has 384 divisors, whose sum is σ = 3761372160. Its totient is φ = 215737344.

The previous prime is 960112423. The next prime is 960112441. The reversal of 960112440 is 44211069.

960112440 is a `hidden beast` number, since 9 + 601 + 12 + 4 + 40 = 666.

960112440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960112441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7008052 + ... + 7008188.

It is an arithmetic number, because the mean of its divisors is an integer number (9795240).

Almost surely, 2^960112440 is an apocalyptic number.

960112440 is a gapful number since it is divisible by the number (90) 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 960112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880686080).

960112440 is an abundant number, since it is smaller than the sum of its proper divisors (2801259720).

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

960112440 is a wasteful number, since it uses less digits than its factorization.

960112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 960112440 is about 30985.6812092295. The cubic root of 960112440 is about 986.5233422405.

The spelling of 960112440 in words is "nine hundred sixty million, one hundred twelve thousand, four hundred forty".