213207600 has 120 divisors (see below), whose sum is σ = 688844800. Its totient is φ = 56367360.

The previous prime is 213207581. The next prime is 213207613. The reversal of 213207600 is 6702312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151701 + ... + 153099.

Almost surely, 2^213207600 is an apocalyptic number.

213207600 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 213207600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344422400).

213207600 is an abundant number, since it is smaller than the sum of its proper divisors (475637200).

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

213207600 is a wasteful number, since it uses less digits than its factorization.

213207600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 213207600 is about 14601.6300459914. The cubic root of 213207600 is about 597.4032218972.

Adding to 213207600 its reverse (6702312), we get a palindrome (219909912).

It can be divided in two parts, 21320 and 7600, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 213207600 in words is "two hundred thirteen million, two hundred seven thousand, six hundred".