965400 has 48 divisors (see below), whose sum is σ = 2994600. Its totient is φ = 257280.

The previous prime is 965399. The next prime is 965401. The reversal of 965400 is 4569.

It is an interprime number because it is at equal distance from previous prime (965399) and next prime (965401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205 + ... + 1404.

2⁹⁶⁵⁴⁰⁰ 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 965400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497300).

965400 is an abundant number, since it is smaller than the sum of its proper divisors (2029200).

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

965400 is a wasteful number, since it uses less digits than its factorization.

965400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 965400 is about 982.5477087653. The cubic root of 965400 is about 98.8331031475.

Adding to 965400 its reverse (4569), we get a palindrome (969969).

It can be divided in two parts, 96 and 5400, that multiplied together give a square (518400 = 720²).

The spelling of 965400 in words is "nine hundred sixty-five thousand, four hundred".