540276672 has 112 divisors (see below), whose sum is σ = 1547713440. Its totient is φ = 165347328.

The previous prime is 540276661. The next prime is 540276679. The reversal of 540276672 is 276672045.

It is a happy number.

It is a super-3 number, since 3×540276672³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 540276672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540276679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581104 + ... + 582032.

It is an arithmetic number, because the mean of its divisors is an integer number (13818870).

Almost surely, 2^540276672 is an apocalyptic number.

540276672 is a gapful number since it is divisible by the number (52) 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 540276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773856720).

540276672 is an abundant number, since it is smaller than the sum of its proper divisors (1007436768).

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

540276672 is a wasteful number, since it uses less digits than its factorization.

540276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 540276672 is about 23243.8523485243. The cubic root of 540276672 is about 814.4643359279.

The spelling of 540276672 in words is "five hundred forty million, two hundred seventy-six thousand, six hundred seventy-two".