961200 has 120 divisors (see below), whose sum is σ = 3459600. Its totient is φ = 253440.

The previous prime is 961189. The next prime is 961201. The reversal of 961200 is 2169.

961200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (961201) by changing a digit.

961200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10756 + ... + 10844.

It is an arithmetic number, because the mean of its divisors is an integer number (28830).

2⁹⁶¹²⁰⁰ is an apocalyptic number.

961200 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 961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729800).

961200 is an abundant number, since it is smaller than the sum of its proper divisors (2498400).

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

961200 is a wasteful number, since it uses less digits than its factorization.

961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 961200 is about 980.4080783021. The cubic root of 961200 is about 98.6895693932.

Adding to 961200 its reverse (2169), we get a palindrome (963369).

It can be divided in two parts, 96 and 1200, that added together give a 4-th power (1296 = 6⁴).

The spelling of 961200 in words is "nine hundred sixty-one thousand, two hundred".