54297936 has 240 divisors, whose sum is σ = 194987520. Its totient is φ = 13697280.

The previous prime is 54297913. The next prime is 54297937. The reversal of 54297936 is 63979245.

It is a happy number.

54297936 is a `hidden beast` number, since 542 + 9 + 79 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54297891 and 54297900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54297937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654151 + ... + 654233.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^54297936 is an apocalyptic number.

54297936 is a gapful number since it is divisible by the number (56) 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 54297936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

54297936 is an abundant number, since it is smaller than the sum of its proper divisors (140689584).

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

54297936 is a wasteful number, since it uses less digits than its factorization.

54297936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 54297936 is about 7368.7133205194. The cubic root of 54297936 is about 378.6701808729.

The spelling of 54297936 in words is "fifty-four million, two hundred ninety-seven thousand, nine hundred thirty-six".