270943680 has 224 divisors, whose sum is σ = 1026468864. Its totient is φ = 59203584.

The previous prime is 270943669. The next prime is 270943681. The reversal of 270943680 is 86349072.

270943680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270943681) 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, 153684 + ... + 155436.

Almost surely, 2^270943680 is an apocalyptic number.

270943680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

270943680 is the 13440-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513234432).

270943680 is an abundant number, since it is smaller than the sum of its proper divisors (755525184).

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

270943680 is a wasteful number, since it uses less digits than its factorization.

270943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 270943680 is about 16460.3669460921. The cubic root of 270943680 is about 647.0825302998.

The spelling of 270943680 in words is "two hundred seventy million, nine hundred forty-three thousand, six hundred eighty".