54128340 has 324 divisors, whose sum is σ = 213434676. Its totient is φ = 11031552.

The previous prime is 54128339. The next prime is 54128461. The reversal of 54128340 is 4382145.

54128340 is a `hidden beast` number, since 541 + 2 + 83 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31203396 + 22924944 = 5586^2 + 4788^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2848851 + ... + 2848869.

It is an arithmetic number, because the mean of its divisors is an integer number (658749).

Almost surely, 2^54128340 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 54128340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106717338).

54128340 is an abundant number, since it is smaller than the sum of its proper divisors (159306336).

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

54128340 is a wasteful number, since it uses less digits than its factorization.

54128340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

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

The square root of 54128340 is about 7357.1964769197. The cubic root of 54128340 is about 378.2755192934.

The spelling of 54128340 in words is "fifty-four million, one hundred twenty-eight thousand, three hundred forty".