987085440 has 384 divisors, whose sum is σ = 3862797120. Its totient is φ = 238878720.

The previous prime is 987085439. The next prime is 987085447. The reversal of 987085440 is 44580789.

987085440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (987085447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710432 + ... + 1711008.

Almost surely, 2^987085440 is an apocalyptic number.

987085440 is a gapful number since it is divisible by the number (90) 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 987085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931398560).

987085440 is an abundant number, since it is smaller than the sum of its proper divisors (2875711680).

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

987085440 is a wasteful number, since it uses less digits than its factorization.

987085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 987085440 is about 31417.9159079656. The cubic root of 987085440 is about 995.6764807879.

The spelling of 987085440 in words is "nine hundred eighty-seven million, eighty-five thousand, four hundred forty".