54187840 has 112 divisors (see below), whose sum is σ = 156252672. Its totient is φ = 17473536.

The previous prime is 54187831. The next prime is 54187841. The reversal of 54187840 is 4878145.

54187840 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 (112).

It is a self number, because there is not a number n which added to its sum of digits gives 54187840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54187841) 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, 37369 + ... + 38791.

Almost surely, 2^54187840 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 54187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78126336).

54187840 is an abundant number, since it is smaller than the sum of its proper divisors (102064832).

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

54187840 is a wasteful number, since it uses less digits than its factorization.

54187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 54187840 is about 7361.2390261423. The cubic root of 54187840 is about 378.4140736466.

The spelling of 54187840 in words is "fifty-four million, one hundred eighty-seven thousand, eight hundred forty".