273552240 has 160 divisors (see below), whose sum is σ = 934940160. Its totient is φ = 65737728.

The previous prime is 273552221. The next prime is 273552259. The reversal of 273552240 is 42255372.

It is an interprime number because it is at equal distance from previous prime (273552221) and next prime (273552259).

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

It is a junction number, because it is equal to n+sod(n) for n = 273552198 and 273552207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133141 + ... + 135179.

It is an arithmetic number, because the mean of its divisors is an integer number (5843376).

Almost surely, 2^273552240 is an apocalyptic number.

273552240 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 273552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467470080).

273552240 is an abundant number, since it is smaller than the sum of its proper divisors (661387920).

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

273552240 is a wasteful number, since it uses less digits than its factorization.

273552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 273552240 is about 16539.4147417616. The cubic root of 273552240 is about 649.1525365916.

The spelling of 273552240 in words is "two hundred seventy-three million, five hundred fifty-two thousand, two hundred forty".