961872 has 40 divisors (see below), whose sum is σ = 2574240. Its totient is φ = 309120.

The previous prime is 961871. The next prime is 961879. The reversal of 961872 is 278169.

961872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (64356).

2⁹⁶¹⁸⁷² 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 961872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287120).

961872 is an abundant number, since it is smaller than the sum of its proper divisors (1612368).

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

961872 is a wasteful number, since it uses less digits than its factorization.

961872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 961872 is about 980.7507328572. The cubic root of 961872 is about 98.7125628533.

The spelling of 961872 in words is "nine hundred sixty-one thousand, eight hundred seventy-two".