987951744 has 192 divisors, whose sum is σ = 3138244200. Its totient is φ = 296386560.

The previous prime is 987951743. The next prime is 987951749. The reversal of 987951744 is 447159789.

987951744 is a `hidden beast` number, since 9 + 87 + 9 + 517 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 716097600 + 271854144 = 26760^2 + 16488^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (987951743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613212 + ... + 614820.

Almost surely, 2^987951744 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 987951744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569122100).

987951744 is an abundant number, since it is smaller than the sum of its proper divisors (2150292456).

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

987951744 is a wasteful number, since it uses less digits than its factorization.

987951744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1668 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 987951744 is about 31431.6996676922. The cubic root of 987951744 is about 995.9676768917.

The spelling of 987951744 in words is "nine hundred eighty-seven million, nine hundred fifty-one thousand, seven hundred forty-four".