270420768 has 270 divisors, whose sum is σ = 891639441. Its totient is φ = 80372736.

The previous prime is 270420739. The next prime is 270420769. The reversal of 270420768 is 867024072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 247495824 + 22924944 = 15732^2 + 4788^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11628.

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

It is not an unprimeable number, because it can be changed into a prime (270420769) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14232663 + ... + 14232681.

Almost surely, 2^270420768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270420768

270420768 is an abundant number, since it is smaller than the sum of its proper divisors (621218673).

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

270420768 is a wasteful number, since it uses less digits than its factorization.

270420768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

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

The square root of 270420768 is about 16444.4753032743. The cubic root of 270420768 is about 646.6659798531.

The spelling of 270420768 in words is "two hundred seventy million, four hundred twenty thousand, seven hundred sixty-eight".