540156672 has 108 divisors (see below), whose sum is σ = 1699066824. Its totient is φ = 163676160.

The previous prime is 540156667. The next prime is 540156709. The reversal of 540156672 is 276651045.

It is a happy number.

540156672 is a `hidden beast` number, since 540 + 1 + 56 + 67 + 2 = 666.

It is a super-2 number, since 2×540156672² = 583538460612231168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14688 + ... + 36000.

Almost surely, 2^540156672 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 540156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849533412).

540156672 is an abundant number, since it is smaller than the sum of its proper divisors (1158910152).

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

540156672 is a wasteful number, since it uses less digits than its factorization.

540156672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346 (or 21329 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 540156672 is about 23241.2708774714. The cubic root of 540156672 is about 814.4040316664.

The spelling of 540156672 in words is "five hundred forty million, one hundred fifty-six thousand, six hundred seventy-two".