964872 has 40 divisors (see below), whose sum is σ = 2704350. Its totient is φ = 321408.

The previous prime is 964871. The next prime is 964879. The reversal of 964872 is 278469.

964872 is a `hidden beast` number, since 9 + 648 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 910116 + 54756 = 954^2 + 234^2 .

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

It is not an unprimeable number, because it can be changed into a prime (964871) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 97 + ... + 1392.

2⁹⁶⁴⁸⁷² 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 964872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352175).

964872 is an abundant number, since it is smaller than the sum of its proper divisors (1739478).

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

964872 is a wasteful number, since it uses less digits than its factorization.

964872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1494 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 964872 is about 982.2789827742. The cubic root of 964872 is about 98.8150818109.

The spelling of 964872 in words is "nine hundred sixty-four thousand, eight hundred seventy-two".