53858664 has 48 divisors (see below), whose sum is σ = 147251520. Its totient is φ = 17782560.

The previous prime is 53858659. The next prime is 53858677. The reversal of 53858664 is 46685835.

53858664 is a `hidden beast` number, since 5 + 3 + 8 + 586 + 64 = 666.

53858664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 4209 + ... + 11199.

It is an arithmetic number, because the mean of its divisors is an integer number (3067740).

Almost surely, 2^53858664 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 53858664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73625760).

53858664 is an abundant number, since it is smaller than the sum of its proper divisors (93392856).

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

53858664 is a wasteful number, since it uses less digits than its factorization.

53858664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7103 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 53858664 is about 7338.8462308458. The cubic root of 53858664 is about 377.6462635131.

The spelling of 53858664 in words is "fifty-three million, eight hundred fifty-eight thousand, six hundred sixty-four".