54261540 has 72 divisors (see below), whose sum is σ = 165197760. Its totient is φ = 14416704.

The previous prime is 54261539. The next prime is 54261541. The reversal of 54261540 is 4516245.

54261540 is a `hidden beast` number, since 5 + 4 + 2 + 615 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (54261539) and next prime (54261541).

It is not an unprimeable number, because it can be changed into a prime (54261541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87351 + ... + 87969.

Almost surely, 2^54261540 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 54261540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82598880).

54261540 is an abundant number, since it is smaller than the sum of its proper divisors (110936220).

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

54261540 is a wasteful number, since it uses less digits than its factorization.

54261540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54261540 is about 7366.2432759175. The cubic root of 54261540 is about 378.5855542035.

Adding to 54261540 its reverse (4516245), we get a palindrome (58777785).

The spelling of 54261540 in words is "fifty-four million, two hundred sixty-one thousand, five hundred forty".