540160000 has 130 divisors (see below), whose sum is σ = 1356200252. Its totient is φ = 215040000.

The previous prime is 540159973. The next prime is 540160009. The reversal of 540160000 is 61045.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (540160009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559895 + ... + 2560105.

Almost surely, 2^540160000 is an apocalyptic number.

540160000 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 540160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678100126).

540160000 is an abundant number, since it is smaller than the sum of its proper divisors (816040252).

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

540160000 is an frugal number, since it uses more digits than its factorization.

540160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 540160000 is about 23241.3424741343. The cubic root of 540160000 is about 814.4057042250.

The spelling of 540160000 in words is "five hundred forty million, one hundred sixty thousand".