270338640 has 160 divisors (see below), whose sum is σ = 984686976. Its totient is φ = 60487680.

The previous prime is 270338633. The next prime is 270338647. The reversal of 270338640 is 46833072.

It is an interprime number because it is at equal distance from previous prime (270338633) and next prime (270338647).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270338647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30382 + ... + 38258.

Almost surely, 2^270338640 is an apocalyptic number.

270338640 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 270338640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492343488).

270338640 is an abundant number, since it is smaller than the sum of its proper divisors (714348336).

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

270338640 is a wasteful number, since it uses less digits than its factorization.

270338640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 270338640 is about 16441.9779831990. The cubic root of 270338640 is about 646.6005081052.

The spelling of 270338640 in words is "two hundred seventy million, three hundred thirty-eight thousand, six hundred forty".