270728640 has 336 divisors, whose sum is σ = 1147194048. Its totient is φ = 57065472.

The previous prime is 270728597. The next prime is 270728651. The reversal of 270728640 is 46827072.

270728640 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 270728595 and 270728604.

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, 261564 + ... + 262596.

It is an arithmetic number, because the mean of its divisors is an integer number (3414268).

Almost surely, 2^270728640 is an apocalyptic number.

270728640 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 270728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573597024).

270728640 is an abundant number, since it is smaller than the sum of its proper divisors (876465408).

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

270728640 is a wasteful number, since it uses less digits than its factorization.

270728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 270728640 is about 16453.8335958524. The cubic root of 270728640 is about 646.9112948899.

The spelling of 270728640 in words is "two hundred seventy million, seven hundred twenty-eight thousand, six hundred forty".