270990720 has 768 divisors, whose sum is σ = 1283143680. Its totient is φ = 50872320.

The previous prime is 270990653. The next prime is 270990737. The reversal of 270990720 is 27099072.

It is a super-2 number, since 2×270990720² = 146871940652236800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5765737 + ... + 5765783.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^270990720 is an apocalyptic number.

270990720 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 270990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

270990720 is an abundant number, since it is smaller than the sum of its proper divisors (1012152960).

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

270990720 is a wasteful number, since it uses less digits than its factorization.

270990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 270990720 is about 16461.7957708143. The cubic root of 270990720 is about 647.1199759673.

The spelling of 270990720 in words is "two hundred seventy million, nine hundred ninety thousand, seven hundred twenty".