270224640 has 288 divisors, whose sum is σ = 1096892160. Its totient is φ = 61710336.

The previous prime is 270224629. The next prime is 270224663. The reversal of 270224640 is 46422072.

It is a happy number.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241362 + ... + 242478.

Almost surely, 2^270224640 is an apocalyptic number.

270224640 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 270224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548446080).

270224640 is an abundant number, since it is smaller than the sum of its proper divisors (826667520).

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

270224640 is a wasteful number, since it uses less digits than its factorization.

270224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

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

The square root of 270224640 is about 16438.5108814637. The cubic root of 270224640 is about 646.5096062870.

The spelling of 270224640 in words is "two hundred seventy million, two hundred twenty-four thousand, six hundred forty".