270889920 has 280 divisors, whose sum is σ = 1101998304. Its totient is φ = 61876224.

The previous prime is 270889907. The next prime is 270889937. The reversal of 270889920 is 29988072.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180694 + ... + 182186.

Almost surely, 2^270889920 is an apocalyptic number.

270889920 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 270889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550999152).

270889920 is an abundant number, since it is smaller than the sum of its proper divisors (831108384).

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

270889920 is a wasteful number, since it uses less digits than its factorization.

270889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 270889920 is about 16458.7338516667. The cubic root of 270889920 is about 647.0397299438.

The spelling of 270889920 in words is "two hundred seventy million, eight hundred eighty-nine thousand, nine hundred twenty".