540703872 has 96 divisors (see below), whose sum is σ = 1623660480. Its totient is φ = 172389888.

The previous prime is 540703861. The next prime is 540703873. The reversal of 540703872 is 278307045.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (540703873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16293 + ... + 36699.

It is an arithmetic number, because the mean of its divisors is an integer number (16913130).

Almost surely, 2^540703872 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 540703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811830240).

540703872 is an abundant number, since it is smaller than the sum of its proper divisors (1082956608).

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

540703872 is a wasteful number, since it uses less digits than its factorization.

540703872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20450 (or 20435 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 540703872 is about 23253.0400593127. The cubic root of 540703872 is about 814.6789466492.

The spelling of 540703872 in words is "five hundred forty million, seven hundred three thousand, eight hundred seventy-two".