270305640 has 256 divisors, whose sum is σ = 1001721600. Its totient is φ = 64281600.

The previous prime is 270305621. The next prime is 270305653. The reversal of 270305640 is 46503072.

It is a happy number.

270305640 is a `hidden beast` number, since 2 + 70 + 30 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724494 + ... + 724866.

It is an arithmetic number, because the mean of its divisors is an integer number (3912975).

Almost surely, 2^270305640 is an apocalyptic number.

270305640 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 270305640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500860800).

270305640 is an abundant number, since it is smaller than the sum of its proper divisors (731415960).

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

270305640 is a wasteful number, since it uses less digits than its factorization.

270305640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 270305640 is about 16440.9744236770. The cubic root of 270305640 is about 646.5741970495.

The spelling of 270305640 in words is "two hundred seventy million, three hundred five thousand, six hundred forty".