53583984 has 80 divisors (see below), whose sum is σ = 156061440. Its totient is φ = 17599680.

The previous prime is 53583973. The next prime is 53583989. The reversal of 53583984 is 48938535.

It is a happy number.

53583984 is a `hidden beast` number, since 535 + 8 + 39 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53583989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29799 + ... + 31545.

It is an arithmetic number, because the mean of its divisors is an integer number (1950768).

Almost surely, 2^53583984 is an apocalyptic number.

53583984 is a gapful number since it is divisible by the number (54) 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 53583984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78030720).

53583984 is an abundant number, since it is smaller than the sum of its proper divisors (102477456).

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

53583984 is a wasteful number, since it uses less digits than its factorization.

53583984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1823 counting only the distinct ones).

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

The square root of 53583984 is about 7320.1081959217. The cubic root of 53583984 is about 377.0031684565.

The spelling of 53583984 in words is "fifty-three million, five hundred eighty-three thousand, nine hundred eighty-four".