961600 has 42 divisors (see below), whose sum is σ = 2370074. Its totient is φ = 384000.

The previous prime is 961567. The next prime is 961601. The reversal of 961600 is 6169.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 788544 = 416^2 + 888^2 .

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 (961601) by changing a digit.

961600 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 5 ways as a sum of consecutive naturals, for example, 1300 + ... + 1900.

2⁹⁶¹⁶⁰⁰ 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 961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185037).

961600 is an abundant number, since it is smaller than the sum of its proper divisors (1408474).

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

961600 is a wasteful number, since it uses less digits than its factorization.

961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 961600 is about 980.6120537705. The cubic root of 961600 is about 98.7032572671.

Adding to 961600 its reverse (6169), we get a palindrome (967769).

The spelling of 961600 in words is "nine hundred sixty-one thousand, six hundred".