540867600 has 540 divisors, whose sum is σ = 2341088256. Its totient is φ = 113218560.

The previous prime is 540867589. The next prime is 540867611. The reversal of 540867600 is 6768045.

It is a happy number.

540867600 is a `hidden beast` number, since 5 + 40 + 8 + 6 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (540867589) and next prime (540867611).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4258737 + ... + 4258863.

Almost surely, 2^540867600 is an apocalyptic number.

540867600 is a gapful number since it is divisible by the number (50) 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 540867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170544128).

540867600 is an abundant number, since it is smaller than the sum of its proper divisors (1800220656).

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

540867600 is a wasteful number, since it uses less digits than its factorization.

540867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 540867600 is about 23256.5603647659. The cubic root of 540867600 is about 814.7611680525.

The spelling of 540867600 in words is "five hundred forty million, eight hundred sixty-seven thousand, six hundred".