214720 has 56 divisors (see below), whose sum is σ = 566928. Its totient is φ = 76800.

The previous prime is 214691. The next prime is 214723. The reversal of 214720 is 27412.

It is a super-2 number, since 2×214720² = 92209356800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) 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 (16).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 214694 and 214703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214723) by changing a digit.

214720 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 7 ways as a sum of consecutive naturals, for example, 3490 + ... + 3550.

2²¹⁴⁷²⁰ is an apocalyptic number.

214720 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 214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283464).

214720 is an abundant number, since it is smaller than the sum of its proper divisors (352208).

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

214720 is a wasteful number, since it uses less digits than its factorization.

214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 214720 is about 463.3788946424. The cubic root of 214720 is about 59.8812465970.

The spelling of 214720 in words is "two hundred fourteen thousand, seven hundred twenty", and thus it is an iban number.