540651120 has 80 divisors (see below), whose sum is σ = 1692367872. Its totient is φ = 142767360.

The previous prime is 540651109. The next prime is 540651149. The reversal of 540651120 is 21156045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13785 + ... + 35655.

Almost surely, 2^540651120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846183936).

540651120 is an abundant number, since it is smaller than the sum of its proper divisors (1151716752).

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

540651120 is a wasteful number, since it uses less digits than its factorization.

540651120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21990 (or 21984 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 540651120 is about 23251.9057283484. The cubic root of 540651120 is about 814.6524519610.

The spelling of 540651120 in words is "five hundred forty million, six hundred fifty-one thousand, one hundred twenty".