54186440 has 128 divisors (see below), whose sum is σ = 154725120. Its totient is φ = 16588800.

The previous prime is 54186437. The next prime is 54186443. The reversal of 54186440 is 4468145.

54186440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54186437) and next prime (54186443).

It is a junction number, because it is equal to n+sod(n) for n = 54186397 and 54186406.

It is not an unprimeable number, because it can be changed into a prime (54186443) 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 31 ways as a sum of consecutive naturals, for example, 224720 + ... + 224960.

It is an arithmetic number, because the mean of its divisors is an integer number (1208790).

Almost surely, 2^54186440 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 54186440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77362560).

54186440 is an abundant number, since it is smaller than the sum of its proper divisors (100538680).

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

54186440 is a wasteful number, since it uses less digits than its factorization.

54186440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 54186440 is about 7361.1439328409. The cubic root of 54186440 is about 378.4108147097.

The spelling of 54186440 in words is "fifty-four million, one hundred eighty-six thousand, four hundred forty".