54588496 has 40 divisors (see below), whose sum is σ = 113195880. Its totient is φ = 25411584.

The previous prime is 54588491. The next prime is 54588517. The reversal of 54588496 is 69488545.

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 49000000 = 2364^2 + 7000^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54588491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25350 + ... + 27418.

It is an arithmetic number, because the mean of its divisors is an integer number (2829897).

Almost surely, 2^54588496 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 54588496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56597940).

54588496 is an abundant number, since it is smaller than the sum of its proper divisors (58607384).

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

54588496 is a wasteful number, since it uses less digits than its factorization.

54588496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2185 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

The square root of 54588496 is about 7388.4028043955. The cubic root of 54588496 is about 379.3444282989.

Adding to 54588496 its sum of digits (49), we get a palindrome (54588545).

The spelling of 54588496 in words is "fifty-four million, five hundred eighty-eight thousand, four hundred ninety-six".