274688064 has 112 divisors (see below), whose sum is σ = 922934400. Its totient is φ = 78478848.

The previous prime is 274688053. The next prime is 274688077. The reversal of 274688064 is 460886472.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 742 + ... + 23450.

Almost surely, 2^274688064 is an apocalyptic number.

274688064 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 274688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461467200).

274688064 is an abundant number, since it is smaller than the sum of its proper divisors (648246336).

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

274688064 is a wasteful number, since it uses less digits than its factorization.

274688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22737 (or 22721 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 274688064 is about 16573.7160588686. The cubic root of 274688064 is about 650.0497508271.

The spelling of 274688064 in words is "two hundred seventy-four million, six hundred eighty-eight thousand, sixty-four".