270406656 has 264 divisors, whose sum is σ = 877737224. Its totient is φ = 79626240.

The previous prime is 270406637. The next prime is 270406733. The reversal of 270406656 is 656604072.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 266342400 = 2016^2 + 16320^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 270406656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4432866 + ... + 4432926.

Almost surely, 2^270406656 is an apocalyptic number.

270406656 is a gapful number since it is divisible by the number (26) 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 270406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438868612).

270406656 is an abundant number, since it is smaller than the sum of its proper divisors (607330568).

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

270406656 is a wasteful number, since it uses less digits than its factorization.

270406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 270406656 is about 16444.0462174004. The cubic root of 270406656 is about 646.6547308292.

The spelling of 270406656 in words is "two hundred seventy million, four hundred six thousand, six hundred fifty-six".