54185040 has 240 divisors, whose sum is σ = 224235648. Its totient is φ = 11418624.

The previous prime is 54185023. The next prime is 54185051. The reversal of 54185040 is 4058145.

54185040 is a `hidden beast` number, since 541 + 85 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 54184995 and 54185013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65107 + ... + 65933.

Almost surely, 2^54185040 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 54185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112117824).

54185040 is an abundant number, since it is smaller than the sum of its proper divisors (170050608).

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

54185040 is a wasteful number, since it uses less digits than its factorization.

54185040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54185040 is about 7361.0488383110. The cubic root of 54185040 is about 378.4075557166.

The spelling of 54185040 in words is "fifty-four million, one hundred eighty-five thousand, forty".