968534820 has 324 divisors, whose sum is σ = 3408253212. Its totient is φ = 230947200.

The previous prime is 968534813. The next prime is 968534839. The reversal of 968534820 is 28435869.

968534820 is a `hidden beast` number, since 96 + 8 + 534 + 8 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 155600676 + 812934144 = 12474^2 + 28512^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15877590 + ... + 15877650.

Almost surely, 2^968534820 is an apocalyptic number.

968534820 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 968534820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704126606).

968534820 is an abundant number, since it is smaller than the sum of its proper divisors (2439718392).

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

968534820 is a wasteful number, since it uses less digits than its factorization.

968534820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 968534820 is about 31121.2920682931. The cubic root of 968534820 is about 989.3996359959.

The spelling of 968534820 in words is "nine hundred sixty-eight million, five hundred thirty-four thousand, eight hundred twenty".