214656 has 64 divisors (see below), whose sum is σ = 628320. Its totient is φ = 64512.

The previous prime is 214651. The next prime is 214657. The reversal of 214656 is 656412.

214656 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (214651) by changing a digit.

214656 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 7 ways as a sum of consecutive naturals, for example, 4971 + ... + 5013.

2²¹⁴⁶⁵⁶ is an apocalyptic number.

214656 is a gapful number since it is divisible by the number (26) 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 214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314160).

214656 is an abundant number, since it is smaller than the sum of its proper divisors (413664).

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

214656 is a wasteful number, since it uses less digits than its factorization.

214656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 214656 is about 463.3098315382. The cubic root of 214656 is about 59.8752965526.

The spelling of 214656 in words is "two hundred fourteen thousand, six hundred fifty-six".