54740 has 48 divisors (see below), whose sum is σ = 145152. Its totient is φ = 16896.

The previous prime is 54727. The next prime is 54751. The reversal of 54740 is 4745.

54740 = T₁ + T₂ + ... + T₆₈.

54740 is a nontrivial binomial coefficient, being equal to C(70, 3).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54740.

It is an unprimeable number.

It is the 68-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2369 + ... + 2391.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁵⁴⁷⁴⁰ 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 54740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

54740 is an abundant number, since it is smaller than the sum of its proper divisors (90412).

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

54740 is a wasteful number, since it uses less digits than its factorization.

54740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 54740 is about 233.9658094680. The cubic root of 54740 is about 37.9695046196.

The spelling of 54740 in words is "fifty-four thousand, seven hundred forty".