987840672 has 192 divisors, whose sum is σ = 3237292800. Its totient is φ = 256794624.

The previous prime is 987840653. The next prime is 987840673. The reversal of 987840672 is 276048789.

It is a super-3 number, since 3×987840672³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (987840673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636954 + ... + 638502.

It is an arithmetic number, because the mean of its divisors is an integer number (16860900).

Almost surely, 2^987840672 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 987840672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618646400).

987840672 is an abundant number, since it is smaller than the sum of its proper divisors (2249452128).

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

987840672 is a wasteful number, since it uses less digits than its factorization.

987840672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 987840672 is about 31429.9327393490. The cubic root of 987840672 is about 995.9303510917.

The spelling of 987840672 in words is "nine hundred eighty-seven million, eight hundred forty thousand, six hundred seventy-two".