965689920 has 168 divisors, whose sum is σ = 3577215096. Its totient is φ = 237699072.

The previous prime is 965689883. The next prime is 965689927. The reversal of 965689920 is 29986569.

It can be written as a sum of positive squares in 4 ways, for example, as 16064064 + 949625856 = 4008^2 + 30816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965689927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24544 + ... + 50336.

It is an arithmetic number, because the mean of its divisors is an integer number (21292947).

Almost surely, 2^965689920 is an apocalyptic number.

965689920 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 965689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788607548).

965689920 is an abundant number, since it is smaller than the sum of its proper divisors (2611525176).

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

965689920 is a wasteful number, since it uses less digits than its factorization.

965689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25829 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 965689920 is about 31075.5518052375. The cubic root of 965689920 is about 988.4299570509.

The spelling of 965689920 in words is "nine hundred sixty-five million, six hundred eighty-nine thousand, nine hundred twenty".