981504 has 80 divisors (see below), whose sum is σ = 2946240. Its totient is φ = 322560.

The previous prime is 981493. The next prime is 981517. The reversal of 981504 is 405189.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

981504 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, 13789 + ... + 13859.

It is an arithmetic number, because the mean of its divisors is an integer number (36828).

2⁹⁸¹⁵⁰⁴ 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 981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473120).

981504 is an abundant number, since it is smaller than the sum of its proper divisors (1964736).

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

981504 is an equidigital number, since it uses as much as digits as its factorization.

981504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 981504 is about 990.7088371464. The cubic root of 981504 is about 99.3796259861.

It can be divided in two parts, 981 and 504, that added together give a triangular number (1485 = T₅₄).

The spelling of 981504 in words is "nine hundred eighty-one thousand, five hundred four".