54763120 has 80 divisors (see below), whose sum is σ = 137053728. Its totient is φ = 20275200.

The previous prime is 54763117. The next prime is 54763127. The reversal of 54763120 is 2136745.

54763120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54763127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90820 + ... + 91420.

Almost surely, 2^54763120 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 54763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68526864).

54763120 is an abundant number, since it is smaller than the sum of its proper divisors (82290608).

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

54763120 is a wasteful number, since it uses less digits than its factorization.

54763120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 54763120 is about 7400.2108078081. The cubic root of 54763120 is about 379.7484947029.

Adding to 54763120 its reverse (2136745), we get a palindrome (56899865).

The spelling of 54763120 in words is "fifty-four million, seven hundred sixty-three thousand, one hundred twenty".