968022000 has 240 divisors, whose sum is σ = 3689094240. Its totient is φ = 234624000.

The previous prime is 968021983. The next prime is 968022031. The reversal of 968022000 is 220869.

968022000 is a nontrivial binomial coefficient, being equal to C(44001, 2).

It is a tau number, because it is divible by the number of its divisors (240).

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, 195556 + ... + 200444.

It is an arithmetic number, because the mean of its divisors is an integer number (15371226).

Almost surely, 2^968022000 is an apocalyptic number.

968022000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

968022000 is the 44000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844547120).

968022000 is an abundant number, since it is smaller than the sum of its proper divisors (2721072240).

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

968022000 is a wasteful number, since it uses less digits than its factorization.

968022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4910 counting only the distinct ones).

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

The square root of 968022000 is about 31113.0519235899. The cubic root of 968022000 is about 989.2249826649.

Adding to 968022000 its reverse (220869), we get a palindrome (968242869).

The spelling of 968022000 in words is "nine hundred sixty-eight million, twenty-two thousand".