270575680 has 112 divisors (see below), whose sum is σ = 681045120. Its totient is φ = 102187008.

The previous prime is 270575671. The next prime is 270575693. The reversal of 270575680 is 86575072.

It is a super-2 number, since 2×270575680² = 146422397214924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713731 + ... + 714109.

It is an arithmetic number, because the mean of its divisors is an integer number (6080760).

Almost surely, 2^270575680 is an apocalyptic number.

270575680 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 270575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340522560).

270575680 is an abundant number, since it is smaller than the sum of its proper divisors (410469440).

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

270575680 is a wasteful number, since it uses less digits than its factorization.

270575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 270575680 is about 16449.1847822316. The cubic root of 270575680 is about 646.7894383165.

The spelling of 270575680 in words is "two hundred seventy million, five hundred seventy-five thousand, six hundred eighty".