54593840 has 120 divisors (see below), whose sum is σ = 155637360. Its totient is φ = 17708544.

The previous prime is 54593839. The next prime is 54593867. The reversal of 54593840 is 4839545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 54593794 and 54593803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74114 + ... + 74846.

It is an arithmetic number, because the mean of its divisors is an integer number (1296978).

Almost surely, 2^54593840 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 54593840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77818680).

54593840 is an abundant number, since it is smaller than the sum of its proper divisors (101043520).

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

54593840 is a wasteful number, since it uses less digits than its factorization.

54593840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 54593840 is about 7388.7644433965. The cubic root of 54593840 is about 379.3568066730.

The spelling of 54593840 in words is "fifty-four million, five hundred ninety-three thousand, eight hundred forty".