540443664 has 120 divisors (see below), whose sum is σ = 1577954560. Its totient is φ = 179065728.

The previous prime is 540443653. The next prime is 540443707. The reversal of 540443664 is 466344045.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890049 + ... + 890655.

Almost surely, 2^540443664 is an apocalyptic number.

540443664 is a gapful number since it is divisible by the number (54) 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 540443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788977280).

540443664 is an abundant number, since it is smaller than the sum of its proper divisors (1037510896).

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

540443664 is a wasteful number, since it uses less digits than its factorization.

540443664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 540443664 is about 23247.4442466263. Note that the first 3 decimals coincide. The cubic root of 540443664 is about 814.5482404809.

The spelling of 540443664 in words is "five hundred forty million, four hundred forty-three thousand, six hundred sixty-four".