54123520 has 132 divisors (see below), whose sum is σ = 146352312. Its totient is φ = 19046400.

The previous prime is 54123493. The next prime is 54123521. The reversal of 54123520 is 2532145.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 54123491 and 54123500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54123521) 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 11 ways as a sum of consecutive naturals, for example, 1745905 + ... + 1745935.

Almost surely, 2^54123520 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 54123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73176156).

54123520 is an abundant number, since it is smaller than the sum of its proper divisors (92228792).

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

54123520 is a wasteful number, since it uses less digits than its factorization.

54123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 54123520 is about 7356.8688991989. The cubic root of 54123520 is about 378.2642907815.

Adding to 54123520 its reverse (2532145), we get a palindrome (56655665).

The spelling of 54123520 in words is "fifty-four million, one hundred twenty-three thousand, five hundred twenty".