54068040 has 128 divisors (see below), whose sum is σ = 194140800. Its totient is φ = 13305600.

The previous prime is 54068017. The next prime is 54068051. The reversal of 54068040 is 4086045.

54068040 is a `hidden beast` number, since 540 + 6 + 80 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54067995 and 54068013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12115 + ... + 15965.

It is an arithmetic number, because the mean of its divisors is an integer number (1516725).

Almost surely, 2^54068040 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 54068040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97070400).

54068040 is an abundant number, since it is smaller than the sum of its proper divisors (140072760).

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

54068040 is a wasteful number, since it uses less digits than its factorization.

54068040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54068040 is about 7353.0973065777. The cubic root of 54068040 is about 378.1349983924.

The spelling of 54068040 in words is "fifty-four million, sixty-eight thousand, forty".