54774144 has 112 divisors (see below), whose sum is σ = 163884420. Its totient is φ = 18226944.

The previous prime is 54774121. The next prime is 54774173. The reversal of 54774144 is 44147745.

It is a happy number.

54774144 is a `hidden beast` number, since 547 + 74 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54774099 and 54774108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93019 + ... + 93605.

Almost surely, 2^54774144 is an apocalyptic number.

54774144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81942210).

54774144 is an abundant number, since it is smaller than the sum of its proper divisors (109110276).

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

54774144 is an frugal number, since it uses more digits than its factorization.

54774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 592 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 54774144 is about 7400.9556139731. The cubic root of 54774144 is about 379.7739745424.

It can be divided in two parts, 547 and 74144, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 54774144 in words is "fifty-four million, seven hundred seventy-four thousand, one hundred forty-four".