540031680 has 336 divisors, whose sum is σ = 1997049600. Its totient is φ = 133539840.

The previous prime is 540031663. The next prime is 540031691. The reversal of 540031680 is 86130045.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3885051 + ... + 3885189.

It is an arithmetic number, because the mean of its divisors is an integer number (5943600).

Almost surely, 2^540031680 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 540031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998524800).

540031680 is an abundant number, since it is smaller than the sum of its proper divisors (1457017920).

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

540031680 is a wasteful number, since it uses less digits than its factorization.

540031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 540031680 is about 23238.5817123163. The cubic root of 540031680 is about 814.3412092504.

The spelling of 540031680 in words is "five hundred forty million, thirty-one thousand, six hundred eighty".