540891648 has 160 divisors (see below), whose sum is σ = 1747120320. Its totient is φ = 163860480.

The previous prime is 540891643. The next prime is 540891649. The reversal of 540891648 is 846198045.

It is not an unprimeable number, because it can be changed into a prime (540891643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150286 + ... + 153842.

It is an arithmetic number, because the mean of its divisors is an integer number (10919502).

Almost surely, 2^540891648 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 540891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873560160).

540891648 is an abundant number, since it is smaller than the sum of its proper divisors (1206228672).

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

540891648 is a wasteful number, since it uses less digits than its factorization.

540891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 540891648 is about 23257.0773744252. The cubic root of 540891648 is about 814.7732431495.

The spelling of 540891648 in words is "five hundred forty million, eight hundred ninety-one thousand, six hundred forty-eight".