270113760 has 288 divisors, whose sum is σ = 1066770432. Its totient is φ = 60963840.

The previous prime is 270113759. The next prime is 270113791. The reversal of 270113760 is 67311072.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×270113760² = 145922886682675200, which contains 22 as substring.

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, 1280055 + ... + 1280265.

It is an arithmetic number, because the mean of its divisors is an integer number (3704064).

Almost surely, 2^270113760 is an apocalyptic number.

270113760 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 270113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533385216).

270113760 is an abundant number, since it is smaller than the sum of its proper divisors (796656672).

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

270113760 is a wasteful number, since it uses less digits than its factorization.

270113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 270113760 is about 16435.1379671727. The cubic root of 270113760 is about 646.4211677789.

It can be divided in two parts, 2701 and 13760, that added together give a palindrome (16461).

The spelling of 270113760 in words is "two hundred seventy million, one hundred thirteen thousand, seven hundred sixty".