540306936 has 160 divisors (see below), whose sum is σ = 1683158400. Its totient is φ = 160807680.

The previous prime is 540306931. The next prime is 540306953. The reversal of 540306936 is 639603045.

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 540306936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540306931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 260110 + ... + 262178.

It is an arithmetic number, because the mean of its divisors is an integer number (10519740).

Almost surely, 2^540306936 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 540306936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841579200).

540306936 is an abundant number, since it is smaller than the sum of its proper divisors (1142851464).

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

540306936 is a wasteful number, since it uses less digits than its factorization.

540306936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 540306936 is about 23244.5033502547. The cubic root of 540306936 is about 814.4795432527.

The spelling of 540306936 in words is "five hundred forty million, three hundred six thousand, nine hundred thirty-six".