961885820 has 96 divisors (see below), whose sum is σ = 2364182016. Its totient is φ = 321926400.

The previous prime is 961885819. The next prime is 961885861. The reversal of 961885820 is 28588169.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391675 + ... + 1392365.

It is an arithmetic number, because the mean of its divisors is an integer number (24626896).

Almost surely, 2^961885820 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 961885820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182091008).

961885820 is an abundant number, since it is smaller than the sum of its proper divisors (1402296196).

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

961885820 is a wasteful number, since it uses less digits than its factorization.

961885820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The square root of 961885820 is about 31014.2841284464. The cubic root of 961885820 is about 987.1303561231.

The spelling of 961885820 in words is "nine hundred sixty-one million, eight hundred eighty-five thousand, eight hundred twenty".