54000760 has 128 divisors (see below), whose sum is σ = 141834240. Its totient is φ = 18316800.

The previous prime is 54000743. The next prime is 54000763. The reversal of 54000760 is 6700045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54000763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504627 + ... + 504733.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 2^54000760 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 54000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70917120).

54000760 is an abundant number, since it is smaller than the sum of its proper divisors (87833480).

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

54000760 is a wasteful number, since it uses less digits than its factorization.

54000760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 54000760 is about 7348.5209396177. The cubic root of 54000760 is about 377.9780881824.

The spelling of 54000760 in words is "fifty-four million, seven hundred sixty", and thus it is an aban number.