273648000 has 128 divisors (see below), whose sum is σ = 907302240. Its totient is φ = 72960000.

The previous prime is 273647993. The next prime is 273648007. The reversal of 273648000 is 846372.

It is an interprime number because it is at equal distance from previous prime (273647993) and next prime (273648007).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273648007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45150 + ... + 50850.

Almost surely, 2^273648000 is an apocalyptic number.

273648000 is a gapful number since it is divisible by the number (20) 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 273648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453651120).

273648000 is an abundant number, since it is smaller than the sum of its proper divisors (633654240).

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

273648000 is an equidigital number, since it uses as much as digits as its factorization.

273648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 273648000 is about 16542.3093913758. The cubic root of 273648000 is about 649.2282754398.

The spelling of 273648000 in words is "two hundred seventy-three million, six hundred forty-eight thousand".