273752064 has 168 divisors, whose sum is σ = 817839360. Its totient is φ = 88178688.

The previous prime is 273752053. The next prime is 273752069. The reversal of 273752064 is 460257372.

It is a happy number.

273752064 is a `hidden beast` number, since 2 + 73 + 7 + 520 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273752069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3465177 + ... + 3465255.

Almost surely, 2^273752064 is an apocalyptic number.

273752064 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 273752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408919680).

273752064 is an abundant number, since it is smaller than the sum of its proper divisors (544087296).

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

273752064 is an equidigital number, since it uses as much as digits as its factorization.

273752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 273752064 is about 16545.4544815185. The cubic root of 273752064 is about 649.3105620865.

The spelling of 273752064 in words is "two hundred seventy-three million, seven hundred fifty-two thousand, sixty-four".