270107040 has 192 divisors, whose sum is σ = 1023805440. Its totient is φ = 58475520.

The previous prime is 270107017. The next prime is 270107041. The reversal of 270107040 is 40701072.

270107040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 270106998 and 270107016.

It is not an unprimeable number, because it can be changed into a prime (270107041) 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, 61725 + ... + 65955.

It is an arithmetic number, because the mean of its divisors is an integer number (5332320).

Almost surely, 2^270107040 is an apocalyptic number.

270107040 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 270107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511902720).

270107040 is an abundant number, since it is smaller than the sum of its proper divisors (753698400).

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

270107040 is a wasteful number, since it uses less digits than its factorization.

270107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 270107040 is about 16434.9335258771. The cubic root of 270107040 is about 646.4158070915.

The spelling of 270107040 in words is "two hundred seventy million, one hundred seven thousand, forty".