965502720 has 576 divisors, whose sum is σ = 4230589440. Its totient is φ = 203046912.

The previous prime is 965502691. The next prime is 965502721. The reversal of 965502720 is 27205569.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965502721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144807 + ... + 3145113.

Almost surely, 2^965502720 is an apocalyptic number.

965502720 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 965502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115294720).

965502720 is an abundant number, since it is smaller than the sum of its proper divisors (3265086720).

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

965502720 is a wasteful number, since it uses less digits than its factorization.

965502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 965502720 is about 31072.5396451594. The cubic root of 965502720 is about 988.3660835301.

The spelling of 965502720 in words is "nine hundred sixty-five million, five hundred two thousand, seven hundred twenty".