540696000 has 224 divisors, whose sum is σ = 1923824448. Its totient is φ = 133017600.

The previous prime is 540695989. The next prime is 540696007. The reversal of 540696000 is 696045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540696007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311134 + ... + 312866.

It is an arithmetic number, because the mean of its divisors is an integer number (8588502).

Almost surely, 2^540696000 is an apocalyptic number.

540696000 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 540696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961912224).

540696000 is an abundant number, since it is smaller than the sum of its proper divisors (1383128448).

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

540696000 is a wasteful number, since it uses less digits than its factorization.

540696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 540696000 is about 23252.8707905067. The cubic root of 540696000 is about 814.6749930471.

The spelling of 540696000 in words is "five hundred forty million, six hundred ninety-six thousand".