968212440 has 320 divisors, whose sum is σ = 3551708160. Its totient is φ = 235146240.

The previous prime is 968212409. The next prime is 968212459. The reversal of 968212440 is 44212869.

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 = 968212395 and 968212404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5349150 + ... + 5349330.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2^968212440 is an apocalyptic number.

968212440 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 968212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775854080).

968212440 is an abundant number, since it is smaller than the sum of its proper divisors (2583495720).

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

968212440 is a wasteful number, since it uses less digits than its factorization.

968212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 968212440 is about 31116.1122250194. The cubic root of 968212440 is about 989.2898488398.

It can be divided in two parts, 9682 and 12440, that added together give a palindrome (22122).

The spelling of 968212440 in words is "nine hundred sixty-eight million, two hundred twelve thousand, four hundred forty".