961884 has 72 divisors (see below), whose sum is σ = 3040128. Its totient is φ = 249120.

The previous prime is 961879. The next prime is 961927. The reversal of 961884 is 488169.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2599 + ... + 2945.

It is an arithmetic number, because the mean of its divisors is an integer number (42224).

2⁹⁶¹⁸⁸⁴ 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 961884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520064).

961884 is an abundant number, since it is smaller than the sum of its proper divisors (2078244).

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

961884 is a wasteful number, since it uses less digits than its factorization.

961884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 370 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 961884 is about 980.7568506006. The cubic root of 961884 is about 98.7129733534.

The spelling of 961884 in words is "nine hundred sixty-one thousand, eight hundred eighty-four".