540000864 has 192 divisors, whose sum is σ = 1713761280. Its totient is φ = 164436480.

The previous prime is 540000841. The next prime is 540000871. The reversal of 540000864 is 468000045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1471209 + ... + 1471575.

It is an arithmetic number, because the mean of its divisors is an integer number (8925840).

Almost surely, 2^540000864 is an apocalyptic number.

540000864 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 540000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856880640).

540000864 is an abundant number, since it is smaller than the sum of its proper divisors (1173760416).

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

540000864 is a wasteful number, since it uses less digits than its factorization.

540000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 540000864 is about 23237.9186675571. The cubic root of 540000864 is about 814.3257192851.

It can be divided in two parts, 540000 and 864, that multiplied together give a square (466560000 = 21600²).

The spelling of 540000864 in words is "five hundred forty million, eight hundred sixty-four", and thus it is an aban number.