270820368 has 240 divisors, whose sum is σ = 968410240. Its totient is φ = 70564608.

The previous prime is 270820351. The next prime is 270820441. The reversal of 270820368 is 863028072.

It is a happy number.

270820368 is a `hidden beast` number, since 270 + 8 + 20 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3262855 + ... + 3262937.

Almost surely, 2^270820368 is an apocalyptic number.

270820368 is a gapful number since it is divisible by the number (28) 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 270820368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484205120).

270820368 is an abundant number, since it is smaller than the sum of its proper divisors (697589872).

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

270820368 is a wasteful number, since it uses less digits than its factorization.

270820368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 270820368 is about 16456.6207952909. The cubic root of 270820368 is about 646.9843485803.

The spelling of 270820368 in words is "two hundred seventy million, eight hundred twenty thousand, three hundred sixty-eight".