270261640 has 64 divisors (see below), whose sum is σ = 665496000. Its totient is φ = 97962240.

The previous prime is 270261613. The next prime is 270261679. The reversal of 270261640 is 46162072.

It is a junction number, because it is equal to n+sod(n) for n = 270261599 and 270261608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170371 + ... + 171949.

It is an arithmetic number, because the mean of its divisors is an integer number (10398375).

Almost surely, 2^270261640 is an apocalyptic number.

270261640 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 270261640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332748000).

270261640 is an abundant number, since it is smaller than the sum of its proper divisors (395234360).

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

270261640 is a wasteful number, since it uses less digits than its factorization.

270261640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 270261640 is about 16439.6362490172. The cubic root of 270261640 is about 646.5391123105.

The spelling of 270261640 in words is "two hundred seventy million, two hundred sixty-one thousand, six hundred forty".