306720 has 96 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 80640.

The previous prime is 306707. The next prime is 306727. The reversal of 306720 is 27603.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 306693 and 306702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306727) by changing a digit.

306720 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 4285 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2³⁰⁶⁷²⁰ is an apocalyptic number.

306720 is a gapful number since it is divisible by the number (30) 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 306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

306720 is an abundant number, since it is smaller than the sum of its proper divisors (781920).

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

306720 is a wasteful number, since it uses less digits than its factorization.

306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 306720 is about 553.8230764423. The cubic root of 306720 is about 67.4394518769.

The spelling of 306720 in words is "three hundred six thousand, seven hundred twenty".