961800 has 96 divisors (see below), whose sum is σ = 3422400. Its totient is φ = 218880.

The previous prime is 961789. The next prime is 961811. The reversal of 961800 is 8169.

It is an interprime number because it is at equal distance from previous prime (961789) and next prime (961811).

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

It is a congruent number.

It is an unprimeable number.

961800 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, 4086 + ... + 4314.

It is an arithmetic number, because the mean of its divisors is an integer number (35650).

2⁹⁶¹⁸⁰⁰ 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 961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711200).

961800 is an abundant number, since it is smaller than the sum of its proper divisors (2460600).

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

961800 is a wasteful number, since it uses less digits than its factorization.

961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 961800 is about 980.7140255956. The cubic root of 961800 is about 98.7100997806.

Adding to 961800 its reverse (8169), we get a palindrome (969969).

The spelling of 961800 in words is "nine hundred sixty-one thousand, eight hundred".