270891264 has 144 divisors (see below), whose sum is σ = 844744320. Its totient is φ = 75448320.

The previous prime is 270891259. The next prime is 270891281. The reversal of 270891264 is 462198072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219802 + ... + 221030.

It is an arithmetic number, because the mean of its divisors is an integer number (5866280).

Almost surely, 2^270891264 is an apocalyptic number.

270891264 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 270891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422372160).

270891264 is an abundant number, since it is smaller than the sum of its proper divisors (573853056).

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

270891264 is a wasteful number, since it uses less digits than its factorization.

270891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 270891264 is about 16458.7746810022. The cubic root of 270891264 is about 647.0408000217.

The spelling of 270891264 in words is "two hundred seventy million, eight hundred ninety-one thousand, two hundred sixty-four".