54585936 has 120 divisors (see below), whose sum is σ = 163650240. Its totient is φ = 16934400.

The previous prime is 54585907. The next prime is 54585953. The reversal of 54585936 is 63958545.

54585936 is a `hidden beast` number, since 5 + 4 + 58 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54585891 and 54585900.

It is a congruent number.

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, 194116 + ... + 194396.

It is an arithmetic number, because the mean of its divisors is an integer number (1363752).

Almost surely, 2^54585936 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 54585936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81825120).

54585936 is an abundant number, since it is smaller than the sum of its proper divisors (109064304).

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

54585936 is a wasteful number, since it uses less digits than its factorization.

54585936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 54585936 is about 7388.2295578846. The cubic root of 54585936 is about 379.3384982527.

The spelling of 54585936 in words is "fifty-four million, five hundred eighty-five thousand, nine hundred thirty-six".