961950 has 72 divisors (see below), whose sum is σ = 2671704. Its totient is φ = 228800.

The previous prime is 961943. The next prime is 961957. The reversal of 961950 is 59169.

It is an interprime number because it is at equal distance from previous prime (961943) and next prime (961957).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961957) by changing a digit.

961950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18124 + ... + 18176.

It is an arithmetic number, because the mean of its divisors is an integer number (37107).

2⁹⁶¹⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335852).

961950 is an abundant number, since it is smaller than the sum of its proper divisors (1709754).

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

961950 is a wasteful number, since it uses less digits than its factorization.

961950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 961950 is about 980.7904975070. The cubic root of 961950 is about 98.7152310433.

It can be divided in two parts, 9619 and 50, that added together give a palindrome (9669).

The spelling of 961950 in words is "nine hundred sixty-one thousand, nine hundred fifty".