53827984 has 60 divisors (see below), whose sum is σ = 126690304. Its totient is φ = 21699072.

The previous prime is 53827927. The next prime is 53827987. The reversal of 53827984 is 48972835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53827987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31537 + ... + 33199.

Almost surely, 2^53827984 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 53827984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63345152).

53827984 is an abundant number, since it is smaller than the sum of its proper divisors (72862320).

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

53827984 is a wasteful number, since it uses less digits than its factorization.

53827984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1689 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 53827984 is about 7336.7556862690. The cubic root of 53827984 is about 377.5745425358.

It can be divided in two parts, 5382 and 7984, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 53827984 in words is "fifty-three million, eight hundred twenty-seven thousand, nine hundred eighty-four".