965580000 has 720 divisors, whose sum is σ = 4188159360. Its totient is φ = 190080000.

The previous prime is 965579983. The next prime is 965580013. The reversal of 965580000 is 85569.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50819991 + ... + 50820009.

It is an arithmetic number, because the mean of its divisors is an integer number (5816888).

Almost surely, 2^965580000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094079680).

965580000 is an abundant number, since it is smaller than the sum of its proper divisors (3222579360).

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

965580000 is a wasteful number, since it uses less digits than its factorization.

965580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 965580000 is about 31073.7831620162. The cubic root of 965580000 is about 988.3924528302.

The spelling of 965580000 in words is "nine hundred sixty-five million, five hundred eighty thousand".