214681104 has 225 divisors, whose sum is σ = 701928381. Its totient is φ = 63296640.

The previous prime is 214681073. The next prime is 214681163. The reversal of 214681104 is 401186412.

It is a happy number.

The square root of 214681104 is 14652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 192099600 + 22581504 = 13860^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5802174 + ... + 5802210.

Almost surely, 2^214681104 is an apocalyptic number.

214681104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

214681104 is the 14652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214681104

214681104 is an abundant number, since it is smaller than the sum of its proper divisors (487247277).

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

214681104 is a wasteful number, since it uses less digits than its factorization.

214681104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 214681104 is about 598.7763059849.

The spelling of 214681104 in words is "two hundred fourteen million, six hundred eighty-one thousand, one hundred four".