987456 has 56 divisors (see below), whose sum is σ = 2702560. Its totient is φ = 317952.

The previous prime is 987433. The next prime is 987457. The reversal of 987456 is 654789.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987457) by changing a digit.

987456 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7035 + ... + 7173.

It is an arithmetic number, because the mean of its divisors is an integer number (48260).

2⁹⁸⁷⁴⁵⁶ is an apocalyptic number.

987456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351280).

987456 is an abundant number, since it is smaller than the sum of its proper divisors (1715104).

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

987456 is a wasteful number, since it uses less digits than its factorization.

987456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 987456 is about 993.7082066683. The cubic root of 987456 is about 99.5801060249.

The spelling of 987456 in words is "nine hundred eighty-seven thousand, four hundred fifty-six".