540355536 has 300 divisors, whose sum is σ = 1860976128. Its totient is φ = 150885504.

The previous prime is 540355471. The next prime is 540355549. The reversal of 540355536 is 635553045.

540355536 is a `hidden beast` number, since 540 + 35 + 55 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 540355536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4254705 + ... + 4254831.

Almost surely, 2^540355536 is an apocalyptic number.

540355536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540355536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930488064).

540355536 is an abundant number, since it is smaller than the sum of its proper divisors (1320620592).

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

540355536 is a wasteful number, since it uses less digits than its factorization.

540355536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 540355536 is about 23245.5487351880. The cubic root of 540355536 is about 814.5039630262.

The spelling of 540355536 in words is "five hundred forty million, three hundred fifty-five thousand, five hundred thirty-six".