54357840 has 120 divisors (see below), whose sum is σ = 193333608. Its totient is φ = 13639680.

The previous prime is 54357839. The next prime is 54357851. The reversal of 54357840 is 4875345.

54357840 is a `hidden beast` number, since 5 + 43 + 578 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 45643536 = 2952^2 + 6756^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 54357795 and 54357804.

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, 10020 + ... + 14460.

Almost surely, 2^54357840 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 54357840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96666804).

54357840 is an abundant number, since it is smaller than the sum of its proper divisors (138975768).

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

54357840 is a wasteful number, since it uses less digits than its factorization.

54357840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 54357840 is about 7372.7769530890. The cubic root of 54357840 is about 378.8093851922.

The spelling of 54357840 in words is "fifty-four million, three hundred fifty-seven thousand, eight hundred forty".