540691200 has 540 divisors, whose sum is σ = 2300113200. Its totient is φ = 122757120.

The previous prime is 540691147. The next prime is 540691211. The reversal of 540691200 is 2196045.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628726 + ... + 3628874.

Almost surely, 2^540691200 is an apocalyptic number.

540691200 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 540691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150056600).

540691200 is an abundant number, since it is smaller than the sum of its proper divisors (1759422000).

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

540691200 is a wasteful number, since it uses less digits than its factorization.

540691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 540691200 is about 23252.7675772154. The cubic root of 540691200 is about 814.6725822953.

It can be divided in two parts, 540 and 691200, that multiplied together give a cube (373248000 = 720³).

The spelling of 540691200 in words is "five hundred forty million, six hundred ninety-one thousand, two hundred".