270145600 has 84 divisors (see below), whose sum is σ = 671258500. Its totient is φ = 106997760.

The previous prime is 270145583. The next prime is 270145627. The reversal of 270145600 is 6541072.

It can be written as a sum of positive squares in 6 ways, for example, as 4064256 + 266081344 = 2016^2 + 16312^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173626 + ... + 175174.

Almost surely, 2^270145600 is an apocalyptic number.

270145600 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 270145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335629250).

270145600 is an abundant number, since it is smaller than the sum of its proper divisors (401112900).

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

270145600 is a wasteful number, since it uses less digits than its factorization.

270145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 270145600 is about 16436.1065949330. The cubic root of 270145600 is about 646.4465660176.

Adding to 270145600 its reverse (6541072), we get a palindrome (276686672).

The spelling of 270145600 in words is "two hundred seventy million, one hundred forty-five thousand, six hundred".