273248640 has 384 divisors, whose sum is σ = 1122750720. Its totient is φ = 62208000.

The previous prime is 273248639. The next prime is 273248659. The reversal of 273248640 is 46842372.

273248640 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 273248595 and 273248604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088515 + ... + 1088765.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^273248640 is an apocalyptic number.

273248640 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 273248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561375360).

273248640 is an abundant number, since it is smaller than the sum of its proper divisors (849502080).

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

273248640 is an equidigital number, since it uses as much as digits as its factorization.

273248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 273248640 is about 16530.2341181243. The cubic root of 273248640 is about 648.9122952574.

The spelling of 273248640 in words is "two hundred seventy-three million, two hundred forty-eight thousand, six hundred forty".