273338064 has 120 divisors (see below), whose sum is σ = 799358560. Its totient is φ = 90419328.

The previous prime is 273338063. The next prime is 273338071. The reversal of 273338064 is 460833372.

273338064 is a `hidden beast` number, since 273 + 3 + 380 + 6 + 4 = 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 (273338063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890199 + ... + 890505.

Almost surely, 2^273338064 is an apocalyptic number.

273338064 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 273338064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399679280).

273338064 is an abundant number, since it is smaller than the sum of its proper divisors (526020496).

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

273338064 is a wasteful number, since it uses less digits than its factorization.

273338064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 273338064 is about 16532.9387587325. The cubic root of 273338064 is about 648.9830757305.

The spelling of 273338064 in words is "two hundred seventy-three million, three hundred thirty-eight thousand, sixty-four".