540743616 has 420 divisors, whose sum is σ = 1997762832. Its totient is φ = 139087872.

The previous prime is 540743563. The next prime is 540743617. The reversal of 540743616 is 616347045.

It is a happy number.

540743616 is a `hidden beast` number, since 540 + 74 + 36 + 16 = 666.

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 (540743617) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23510581 + ... + 23510603.

Almost surely, 2^540743616 is an apocalyptic number.

540743616 is a gapful number since it is divisible by the number (56) 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 540743616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998881416).

540743616 is an abundant number, since it is smaller than the sum of its proper divisors (1457019216).

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

540743616 is a wasteful number, since it uses less digits than its factorization.

540743616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 540743616 is about 23253.8946415434. The cubic root of 540743616 is about 814.6989069321.

The spelling of 540743616 in words is "five hundred forty million, seven hundred forty-three thousand, six hundred sixteen".