53668384 has 96 divisors (see below), whose sum is σ = 137604096. Its totient is φ = 19979520.

The previous prime is 53668367. The next prime is 53668387. The reversal of 53668384 is 48386635.

It is a self number, because there is not a number n which added to its sum of digits gives 53668384.

It is not an unprimeable number, because it can be changed into a prime (53668387) 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 15 ways as a sum of consecutive naturals, for example, 56199 + ... + 57145.

It is an arithmetic number, because the mean of its divisors is an integer number (1433376).

Almost surely, 2^53668384 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 53668384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68802048).

53668384 is an abundant number, since it is smaller than the sum of its proper divisors (83935712).

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

53668384 is a wasteful number, since it uses less digits than its factorization.

53668384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 990 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 53668384 is about 7325.8708697328. The cubic root of 53668384 is about 377.2010035408.

The spelling of 53668384 in words is "fifty-three million, six hundred sixty-eight thousand, three hundred eighty-four".