270968832 has 144 divisors (see below), whose sum is σ = 798737940. Its totient is φ = 88473600.

The previous prime is 270968809. The next prime is 270968849. The reversal of 270968832 is 238869072.

It can be written as a sum of positive squares in 2 ways, for example, as 263218176 + 7750656 = 16224^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 1124232 + ... + 1124472.

Almost surely, 2^270968832 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 270968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399368970).

270968832 is an abundant number, since it is smaller than the sum of its proper divisors (527769108).

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

270968832 is a wasteful number, since it uses less digits than its factorization.

270968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 270968832 is about 16461.1309453512. The cubic root of 270968832 is about 647.1025528080.

The spelling of 270968832 in words is "two hundred seventy million, nine hundred sixty-eight thousand, eight hundred thirty-two".