546881664 has 128 divisors (see below), whose sum is σ = 1713991680. Its totient is φ = 151188480.

The previous prime is 546881663. The next prime is 546881723. The reversal of 546881664 is 466188645.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (546881663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 80047 + ... + 86609.

It is an arithmetic number, because the mean of its divisors is an integer number (13390560).

Almost surely, 2^546881664 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 546881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856995840).

546881664 is an abundant number, since it is smaller than the sum of its proper divisors (1167110016).

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

546881664 is a wasteful number, since it uses less digits than its factorization.

546881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618 (or 6606 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 546881664 is about 23385.5011492164. The cubic root of 546881664 is about 817.7698991925.

The spelling of 546881664 in words is "five hundred forty-six million, eight hundred eighty-one thousand, six hundred sixty-four".