965853720 has 320 divisors, whose sum is σ = 3651721920. Its totient is φ = 227183616.

The previous prime is 965853703. The next prime is 965853727. The reversal of 965853720 is 27358569.

It is a happy number.

965853720 is a `hidden beast` number, since 96 + 5 + 8 + 537 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965853727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 968262 + ... + 969258.

It is an arithmetic number, because the mean of its divisors is an integer number (11411631).

Almost surely, 2^965853720 is an apocalyptic number.

965853720 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 965853720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825860960).

965853720 is an abundant number, since it is smaller than the sum of its proper divisors (2685868200).

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

965853720 is a wasteful number, since it uses less digits than its factorization.

965853720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 965853720 is about 31078.1872058201. The cubic root of 965853720 is about 988.4858396105.

The spelling of 965853720 in words is "nine hundred sixty-five million, eight hundred fifty-three thousand, seven hundred twenty".