984672 has 72 divisors (see below), whose sum is σ = 3027024. Its totient is φ = 301824.

The previous prime is 984667. The next prime is 984689. The reversal of 984672 is 276489.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3613 + ... + 3875.

It is an arithmetic number, because the mean of its divisors is an integer number (42042).

2⁹⁸⁴⁶⁷² 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 984672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513512).

984672 is an abundant number, since it is smaller than the sum of its proper divisors (2042352).

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

984672 is a wasteful number, since it uses less digits than its factorization.

984672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

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

The square root of 984672 is about 992.3064042925. The cubic root of 984672 is about 99.4864336781.

It can be divided in two parts, 9 and 84672, that added together give a square (84681 = 291²).

The spelling of 984672 in words is "nine hundred eighty-four thousand, six hundred seventy-two".