270625680 has 240 divisors, whose sum is σ = 1013528880. Its totient is φ = 64253952.

The previous prime is 270625679. The next prime is 270625699. The reversal of 270625680 is 86526072.

270625680 is a `hidden beast` number, since 27 + 0 + 625 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 746496 + 269879184 = 864^2 + 16428^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270942 + ... + 271938.

It is an arithmetic number, because the mean of its divisors is an integer number (4223037).

Almost surely, 2^270625680 is an apocalyptic number.

270625680 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 270625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506764440).

270625680 is an abundant number, since it is smaller than the sum of its proper divisors (742903200).

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

270625680 is a wasteful number, since it uses less digits than its factorization.

270625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 270625680 is about 16450.7045441829. The cubic root of 270625680 is about 646.8292761912.

The spelling of 270625680 in words is "two hundred seventy million, six hundred twenty-five thousand, six hundred eighty".