54937440 has 192 divisors, whose sum is σ = 195894720. Its totient is φ = 14556672.

The previous prime is 54937433. The next prime is 54937471. The reversal of 54937440 is 4473945.

54937440 is a `hidden beast` number, since 549 + 3 + 74 + 40 = 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 = 54937395 and 54937404.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 349842 + ... + 349998.

It is an arithmetic number, because the mean of its divisors is an integer number (1020285).

Almost surely, 2^54937440 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 54937440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97947360).

54937440 is an abundant number, since it is smaller than the sum of its proper divisors (140957280).

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

54937440 is an equidigital number, since it uses as much as digits as its factorization.

54937440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54937440 is about 7411.9794926861. The cubic root of 54937440 is about 380.1510018531.

The spelling of 54937440 in words is "fifty-four million, nine hundred thirty-seven thousand, four hundred forty".