54531840 has 144 divisors (see below), whose sum is σ = 190141056. Its totient is φ = 13209600.

The previous prime is 54531833. The next prime is 54531847. The reversal of 54531840 is 4813545.

It is an interprime number because it is at equal distance from previous prime (54531833) and next prime (54531847).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54531798 and 54531807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54531847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41595 + ... + 42885.

It is an arithmetic number, because the mean of its divisors is an integer number (1320424).

Almost surely, 2^54531840 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 54531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95070528).

54531840 is an abundant number, since it is smaller than the sum of its proper divisors (135609216).

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

54531840 is a wasteful number, since it uses less digits than its factorization.

54531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 54531840 is about 7384.5676921537. The cubic root of 54531840 is about 379.2131455857.

It can be divided in two parts, 545 and 31840, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 54531840 in words is "fifty-four million, five hundred thirty-one thousand, eight hundred forty".