987517440 has 640 divisors, whose sum is σ = 4344721920. Its totient is φ = 207028224.

The previous prime is 987517439. The next prime is 987517451. The reversal of 987517440 is 44715789.

It is a happy number.

987517440 is a `hidden beast` number, since 98 + 7 + 517 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×987517440³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289842 + ... + 6289998.

It is an arithmetic number, because the mean of its divisors is an integer number (6788628).

Almost surely, 2^987517440 is an apocalyptic number.

987517440 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 987517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172360960).

987517440 is an abundant number, since it is smaller than the sum of its proper divisors (3357204480).

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

987517440 is a wasteful number, since it uses less digits than its factorization.

987517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 987517440 is about 31424.7902140969. The cubic root of 987517440 is about 995.8217128985.

The spelling of 987517440 in words is "nine hundred eighty-seven million, five hundred seventeen thousand, four hundred forty".