54127656 has 192 divisors, whose sum is σ = 175560000. Its totient is φ = 15396480.

The previous prime is 54127639. The next prime is 54127657. The reversal of 54127656 is 65672145.

It is a happy number.

54127656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (50400) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 54127656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54127657) 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 47 ways as a sum of consecutive naturals, for example, 496530 + ... + 496638.

It is an arithmetic number, because the mean of its divisors is an integer number (914375).

Almost surely, 2^54127656 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 54127656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87780000).

54127656 is an abundant number, since it is smaller than the sum of its proper divisors (121432344).

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

54127656 is a wasteful number, since it uses less digits than its factorization.

54127656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 54127656 is about 7357.1499916748. The cubic root of 54127656 is about 378.2739259103.

The spelling of 54127656 in words is "fifty-four million, one hundred twenty-seven thousand, six hundred fifty-six".