214620 has 72 divisors (see below), whose sum is σ = 708624. Its totient is φ = 48384.

The previous prime is 214607. The next prime is 214631. The reversal of 214620 is 26412.

214620 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214620.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214620.

It is an unprimeable number.

214620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904 + ... + 2976.

It is an arithmetic number, because the mean of its divisors is an integer number (9842).

2²¹⁴⁶²⁰ is an apocalyptic number.

214620 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 214620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354312).

214620 is an abundant number, since it is smaller than the sum of its proper divisors (494004).

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

214620 is a wasteful number, since it uses less digits than its factorization.

214620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 214620 is about 463.2709790177. The cubic root of 214620 is about 59.8719491329.

It can be divided in two parts, 21 and 4620, that multiplied together give a triangular number (97020 = T₄₄₀).

The spelling of 214620 in words is "two hundred fourteen thousand, six hundred twenty".