270234144 has 120 divisors (see below), whose sum is σ = 801604188. Its totient is φ = 89303040.

The previous prime is 270234137. The next prime is 270234149. The reversal of 270234144 is 441432072.

It can be written as a sum of positive squares in 2 ways, for example, as 242985744 + 27248400 = 15588^2 + 5220^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270234149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354724 + ... + 355484.

Almost surely, 2^270234144 is an apocalyptic number.

270234144 is a gapful number since it is divisible by the number (24) 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 270234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400802094).

270234144 is an abundant number, since it is smaller than the sum of its proper divisors (531370044).

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

270234144 is a wasteful number, since it uses less digits than its factorization.

270234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 270234144 is about 16438.7999562012. The cubic root of 270234144 is about 646.5171856048.

The spelling of 270234144 in words is "two hundred seventy million, two hundred thirty-four thousand, one hundred forty-four".