968785920 has 320 divisors, whose sum is σ = 3520802340. Its totient is φ = 254803968.

The previous prime is 968785907. The next prime is 968785963. The reversal of 968785920 is 29587869.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 967458816 + 1327104 = 31104^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13271004 + ... + 13271076.

Almost surely, 2^968785920 is an apocalyptic number.

968785920 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 968785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760401170).

968785920 is an abundant number, since it is smaller than the sum of its proper divisors (2552016420).

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

968785920 is an frugal number, since it uses more digits than its factorization.

968785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 968785920 is about 31125.3260223889. The cubic root of 968785920 is about 989.4851317284.

The spelling of 968785920 in words is "nine hundred sixty-eight million, seven hundred eighty-five thousand, nine hundred twenty".