540887040 has 144 divisors (see below), whose sum is σ = 1874936700. Its totient is φ = 144211968.

The previous prime is 540887023. The next prime is 540887051. The reversal of 540887040 is 40788045.

540887040 is a `hidden beast` number, since 540 + 8 + 8 + 70 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 49112064 = 22176^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 540886986 and 540887004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89226 + ... + 95094.

Almost surely, 2^540887040 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 540887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937468350).

540887040 is an abundant number, since it is smaller than the sum of its proper divisors (1334049660).

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

540887040 is a wasteful number, since it uses less digits than its factorization.

540887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 540887040 is about 23256.9783075962. The cubic root of 540887040 is about 814.7709293862.

The spelling of 540887040 in words is "five hundred forty million, eight hundred eighty-seven thousand, forty".