54297540 has 180 divisors, whose sum is σ = 187901868. Its totient is φ = 13115520.

The previous prime is 54297533. The next prime is 54297547. The reversal of 54297540 is 4579245.

54297540 is a `hidden beast` number, since 542 + 9 + 75 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (54297533) and next prime (54297547).

It can be written as a sum of positive squares in 2 ways, for example, as 14152644 + 40144896 = 3762^2 + 6336^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54297495 and 54297504.

It is not an unprimeable number, because it can be changed into a prime (54297547) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195882 + ... + 196158.

Almost surely, 2^54297540 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 54297540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93950934).

54297540 is an abundant number, since it is smaller than the sum of its proper divisors (133604328).

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

54297540 is a wasteful number, since it uses less digits than its factorization.

54297540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 54297540 is about 7368.6864501076. The cubic root of 54297540 is about 378.6692603114.

The spelling of 54297540 in words is "fifty-four million, two hundred ninety-seven thousand, five hundred forty".