965944800 has 432 divisors, whose sum is σ = 3753509760. Its totient is φ = 232657920.

The previous prime is 965944783. The next prime is 965944801. The reversal of 965944800 is 8449569.

It is a happy number.

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 (965944801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3146247 + ... + 3146553.

It is an arithmetic number, because the mean of its divisors is an integer number (8688680).

Almost surely, 2^965944800 is an apocalyptic number.

965944800 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 965944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876754880).

965944800 is an abundant number, since it is smaller than the sum of its proper divisors (2787564960).

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

965944800 is a wasteful number, since it uses less digits than its factorization.

965944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 965944800 is about 31079.6525077099. The cubic root of 965944800 is about 988.5169100368.

The spelling of 965944800 in words is "nine hundred sixty-five million, nine hundred forty-four thousand, eight hundred".