54260640 has 216 divisors, whose sum is σ = 215675460. Its totient is φ = 12386304.

The previous prime is 54260629. The next prime is 54260693. The reversal of 54260640 is 4606245.

It is a happy number.

54260640 is a `hidden beast` number, since 54 + 2 + 606 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 853776 = 7308^2 + 924^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70176 + ... + 70944.

Almost surely, 2^54260640 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 54260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107837730).

54260640 is an abundant number, since it is smaller than the sum of its proper divisors (161414820).

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

54260640 is a wasteful number, since it uses less digits than its factorization.

54260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54260640 is about 7366.1821861803. The cubic root of 54260640 is about 378.5834610765.

Adding to 54260640 its reverse (4606245), we get a palindrome (58866885).

The spelling of 54260640 in words is "fifty-four million, two hundred sixty thousand, six hundred forty".