987258240 has 512 divisors, whose sum is σ = 3838464000. Its totient is φ = 238878720.

The previous prime is 987258197. The next prime is 987258263. The reversal of 987258240 is 42852789.

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

It is a congruent number.

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, 10177872 + ... + 10177968.

It is an arithmetic number, because the mean of its divisors is an integer number (7497000).

Almost surely, 2^987258240 is an apocalyptic number.

987258240 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 987258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919232000).

987258240 is an abundant number, since it is smaller than the sum of its proper divisors (2851205760).

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

987258240 is a wasteful number, since it uses less digits than its factorization.

987258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

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

The square root of 987258240 is about 31420.6658108959. The cubic root of 987258240 is about 995.7345787160.

The spelling of 987258240 in words is "nine hundred eighty-seven million, two hundred fifty-eight thousand, two hundred forty".