214968600 has 576 divisors, whose sum is σ = 949939200. Its totient is φ = 43718400.

The previous prime is 214968599. The next prime is 214968623. The reversal of 214968600 is 6869412.

214968600 is a `hidden beast` number, since 2 + 1 + 49 + 6 + 8 + 600 = 666.

It is a super-2 number, since 2×214968600² = 92422997971920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4573777 + ... + 4573823.

It is an arithmetic number, because the mean of its divisors is an integer number (1649200).

Almost surely, 2^214968600 is an apocalyptic number.

214968600 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 214968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474969600).

214968600 is an abundant number, since it is smaller than the sum of its proper divisors (734970600).

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

214968600 is a wasteful number, since it uses less digits than its factorization.

214968600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 214968600 is about 14661.8075284052. The cubic root of 214968600 is about 599.0434759131.

The spelling of 214968600 in words is "two hundred fourteen million, nine hundred sixty-eight thousand, six hundred".