981792 has 72 divisors (see below), whose sum is σ = 3197376. Its totient is φ = 279936.

The previous prime is 981769. The next prime is 981797. The reversal of 981792 is 297189.

It is a happy number.

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 nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 981792.

It is not an unprimeable number, because it can be changed into a prime (981797) by changing a digit.

981792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1773 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (44408).

2⁹⁸¹⁷⁹² 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 981792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598688).

981792 is an abundant number, since it is smaller than the sum of its proper divisors (2215584).

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

981792 is a wasteful number, since it uses less digits than its factorization.

981792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 981792 is about 990.8541769605. The cubic root of 981792 is about 99.3893452650.

981792 divided by its sum of digits (36) gives a palindrome (27272).

It can be divided in two parts, 98 and 1792, that multiplied together give a cube (175616 = 56³).

The spelling of 981792 in words is "nine hundred eighty-one thousand, seven hundred ninety-two".