553641984 has 216 divisors, whose sum is σ = 1863118530. Its totient is φ = 157925376.

The previous prime is 553641967. The next prime is 553642003. The reversal of 553641984 is 489146355.

553641984 is a `hidden beast` number, since 553 + 6 + 4 + 1 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 553190400 + 451584 = 23520^2 + 672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902862 + ... + 903474.

Almost surely, 2^553641984 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 553641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931559265).

553641984 is an abundant number, since it is smaller than the sum of its proper divisors (1309476546).

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

553641984 is a wasteful number, since it uses less digits than its factorization.

553641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 625 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 553641984 is about 23529.5980416156. The cubic root of 553641984 is about 821.1257510299.

The spelling of 553641984 in words is "five hundred fifty-three million, six hundred forty-one thousand, nine hundred eighty-four".