960872 has 32 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 427200.

The previous prime is 960863. The next prime is 960889. The reversal of 960872 is 278069.

960872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

960872 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 7 ways as a sum of consecutive naturals, for example, 5279 + ... + 5457.

It is an arithmetic number, because the mean of its divisors is an integer number (62775).

2⁹⁶⁰⁸⁷² 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 960872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

960872 is an abundant number, since it is smaller than the sum of its proper divisors (1047928).

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

960872 is a wasteful number, since it uses less digits than its factorization.

960872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 960872 is about 980.2407867458. The cubic root of 960872 is about 98.6783425027.

The spelling of 960872 in words is "nine hundred sixty thousand, eight hundred seventy-two".