543537540 has 288 divisors, whose sum is σ = 2106074880. Its totient is φ = 114587136.

The previous prime is 543537509. The next prime is 543537551. The reversal of 543537540 is 45735345.

543537540 is a `hidden beast` number, since 54 + 35 + 37 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 543537495 and 543537504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 441646 + ... + 442874.

It is an arithmetic number, because the mean of its divisors is an integer number (7312760).

Almost surely, 2^543537540 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 543537540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053037440).

543537540 is an abundant number, since it is smaller than the sum of its proper divisors (1562537340).

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

543537540 is a wasteful number, since it uses less digits than its factorization.

543537540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 543537540 is about 23313.8915670465. The cubic root of 543537540 is about 816.0996310010.

The spelling of 543537540 in words is "five hundred forty-three million, five hundred thirty-seven thousand, five hundred forty".