540186240 has 128 divisors (see below), whose sum is σ = 1878448320. Its totient is φ = 130949120.

The previous prime is 540186209. The next prime is 540186299. The reversal of 540186240 is 42681045.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 540186198 and 540186207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8332 + ... + 33908.

Almost surely, 2^540186240 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 540186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939224160).

540186240 is an abundant number, since it is smaller than the sum of its proper divisors (1338262080).

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

540186240 is a wasteful number, since it uses less digits than its factorization.

540186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25610 (or 25598 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 540186240 is about 23241.9069785592. The cubic root of 540186240 is about 814.4188914656.

The spelling of 540186240 in words is "five hundred forty million, one hundred eighty-six thousand, two hundred forty".