987783552 has 384 divisors, whose sum is σ = 3581424000. Its totient is φ = 266499072.

The previous prime is 987783539. The next prime is 987783557. The reversal of 987783552 is 255387789.

987783552 is a `hidden beast` number, since 9 + 8 + 7 + 7 + 83 + 552 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987783557) 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 47 ways as a sum of consecutive naturals, for example, 3217383 + ... + 3217689.

It is an arithmetic number, because the mean of its divisors is an integer number (9326625).

Almost surely, 2^987783552 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 987783552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790712000).

987783552 is an abundant number, since it is smaller than the sum of its proper divisors (2593640448).

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

987783552 is a wasteful number, since it uses less digits than its factorization.

987783552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 338 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 987783552 is about 31429.0240382994. The cubic root of 987783552 is about 995.9111547982.

The spelling of 987783552 in words is "nine hundred eighty-seven million, seven hundred eighty-three thousand, five hundred fifty-two".