53904096 has 96 divisors (see below), whose sum is σ = 159213600. Its totient is φ = 17740800.

The previous prime is 53904091. The next prime is 53904107. The reversal of 53904096 is 69040935.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53904096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53904091) 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, 76546 + ... + 77246.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2^53904096 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 53904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

53904096 is an abundant number, since it is smaller than the sum of its proper divisors (105309504).

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

53904096 is a wasteful number, since it uses less digits than its factorization.

53904096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 53904096 is about 7341.9408878034. The cubic root of 53904096 is about 377.7524203921.

The spelling of 53904096 in words is "fifty-three million, nine hundred four thousand, ninety-six".