540679356 has 144 divisors (see below), whose sum is σ = 1681767360. Its totient is φ = 142940160.

The previous prime is 540679327. The next prime is 540679369. The reversal of 540679356 is 653976045.

540679356 = 1926² + 1927² + ... + 2061².

540679356 is a `hidden beast` number, since 540 + 6 + 79 + 35 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260290 + ... + 262358.

It is an arithmetic number, because the mean of its divisors is an integer number (11678940).

Almost surely, 2^540679356 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 540679356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840883680).

540679356 is an abundant number, since it is smaller than the sum of its proper divisors (1141088004).

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

540679356 is a wasteful number, since it uses less digits than its factorization.

540679356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 540679356 is about 23252.5128964592. The cubic root of 540679356 is about 814.6666337043. Note that the first 4 decimals are identical.

The spelling of 540679356 in words is "five hundred forty million, six hundred seventy-nine thousand, three hundred fifty-six".