987454720 has 144 divisors (see below), whose sum is σ = 2722019328. Its totient is φ = 336199680.

The previous prime is 987454711. The next prime is 987454729. The reversal of 987454720 is 27454789.

987454720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (987454711) and next prime (987454729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987454729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711072 + ... + 1711648.

It is an arithmetic number, because the mean of its divisors is an integer number (18902912).

Almost surely, 2^987454720 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 987454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361009664).

987454720 is an abundant number, since it is smaller than the sum of its proper divisors (1734564608).

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

987454720 is a wasteful number, since it uses less digits than its factorization.

987454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 987454720 is about 31423.7922600058. The cubic root of 987454720 is about 995.8006299763.

The spelling of 987454720 in words is "nine hundred eighty-seven million, four hundred fifty-four thousand, seven hundred twenty".