546085664 has 48 divisors (see below), whose sum is σ = 1122412536. Its totient is φ = 261273600.

The previous prime is 546085663. The next prime is 546085667. The reversal of 546085664 is 466580645.

It can be written as a sum of positive squares in 4 ways, for example, as 369408400 + 176677264 = 19220^2 + 13292^2 .

It is not an unprimeable number, because it can be changed into a prime (546085663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68444 + ... + 76004.

Almost surely, 2^546085664 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 546085664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561206268).

546085664 is an abundant number, since it is smaller than the sum of its proper divisors (576326872).

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

546085664 is a wasteful number, since it uses less digits than its factorization.

546085664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The square root of 546085664 is about 23368.4758595849. The cubic root of 546085664 is about 817.3729449941.

The spelling of 546085664 in words is "five hundred forty-six million, eighty-five thousand, six hundred sixty-four".