54601344 has 256 divisors, whose sum is σ = 192249600. Its totient is φ = 14929920.

The previous prime is 54601319. The next prime is 54601369. The reversal of 54601344 is 44310645.

54601344 is a `hidden beast` number, since 54 + 601 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (54601319) and next prime (54601369).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895074 + ... + 895134.

It is an arithmetic number, because the mean of its divisors is an integer number (750975).

Almost surely, 2^54601344 is an apocalyptic number.

54601344 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 54601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96124800).

54601344 is an abundant number, since it is smaller than the sum of its proper divisors (137648256).

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

54601344 is a wasteful number, since it uses less digits than its factorization.

54601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54601344 is about 7389.2722239744. The cubic root of 54601344 is about 379.3741869187.

Adding to 54601344 its reverse (44310645), we get a palindrome (98911989).

It can be divided in two parts, 54601 and 344, that added together give a palindrome (54945).

The spelling of 54601344 in words is "fifty-four million, six hundred one thousand, three hundred forty-four".