965601400 has 96 divisors (see below), whose sum is σ = 2335788000. Its totient is φ = 370782720.

The previous prime is 965601397. The next prime is 965601407. The reversal of 965601400 is 4106569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965601407) 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, 1327837 + ... + 1328563.

It is an arithmetic number, because the mean of its divisors is an integer number (24331125).

Almost surely, 2^965601400 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 965601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167894000).

965601400 is an abundant number, since it is smaller than the sum of its proper divisors (1370186600).

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

965601400 is a wasteful number, since it uses less digits than its factorization.

965601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 965601400 is about 31074.1275018302. The cubic root of 965601400 is about 988.3997546393.

Adding to 965601400 its reverse (4106569), we get a palindrome (969707969).

The spelling of 965601400 in words is "nine hundred sixty-five million, six hundred one thousand, four hundred".