540618624 has 384 divisors, whose sum is σ = 1996001280. Its totient is φ = 141834240.

The previous prime is 540618623. The next prime is 540618643. The reversal of 540618624 is 426816045.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540618623) 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 47 ways as a sum of consecutive naturals, for example, 2830369 + ... + 2830559.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2^540618624 is an apocalyptic number.

540618624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998000640).

540618624 is an abundant number, since it is smaller than the sum of its proper divisors (1455382656).

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

540618624 is a wasteful number, since it uses less digits than its factorization.

540618624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 540618624 is about 23251.2069364152. The cubic root of 540618624 is about 814.6361299895.

The spelling of 540618624 in words is "five hundred forty million, six hundred eighteen thousand, six hundred twenty-four".