273645864 has 80 divisors (see below), whose sum is σ = 771208020. Its totient is φ = 90650880.

The previous prime is 273645863. The next prime is 273645877. The reversal of 273645864 is 468546372.

273645864 is a `hidden beast` number, since 2 + 7 + 3 + 64 + 586 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 273637764 + 8100 = 16542^2 + 90^2 .

It is not an unprimeable number, because it can be changed into a prime (273645863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110884 + ... + 113324.

Almost surely, 2^273645864 is an apocalyptic number.

273645864 is a gapful number since it is divisible by the number (24) 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 273645864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385604010).

273645864 is an abundant number, since it is smaller than the sum of its proper divisors (497562156).

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

273645864 is a wasteful number, since it uses less digits than its factorization.

273645864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2619 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 273645864 is about 16542.2448295266. The cubic root of 273645864 is about 649.2265862196.

The spelling of 273645864 in words is "two hundred seventy-three million, six hundred forty-five thousand, eight hundred sixty-four".