214661600 has 72 divisors (see below), whose sum is σ = 527809968. Its totient is φ = 85248000.

The previous prime is 214661597. The next prime is 214661611. The reversal of 214661600 is 6166412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214661600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119912 + ... + 121688.

It is an arithmetic number, because the mean of its divisors is an integer number (7330694).

Almost surely, 2^214661600 is an apocalyptic number.

214661600 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 214661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263904984).

214661600 is an abundant number, since it is smaller than the sum of its proper divisors (313148368).

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

214661600 is a wasteful number, since it uses less digits than its factorization.

214661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 214661600 is about 14651.3344102167. The cubic root of 214661600 is about 598.7581722872.

The spelling of 214661600 in words is "two hundred fourteen million, six hundred sixty-one thousand, six hundred".