213969600 has 420 divisors, whose sum is σ = 853667584. Its totient is φ = 52254720.

The previous prime is 213969589. The next prime is 213969629. The reversal of 213969600 is 6969312.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684737 + ... + 1684863.

Almost surely, 2^213969600 is an apocalyptic number.

213969600 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 213969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426833792).

213969600 is an abundant number, since it is smaller than the sum of its proper divisors (639697984).

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

213969600 is a wasteful number, since it uses less digits than its factorization.

213969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 213969600 is about 14627.6997508152. The cubic root of 213969600 is about 598.1140783768.

The spelling of 213969600 in words is "two hundred thirteen million, nine hundred sixty-nine thousand, six hundred".