1213600 has 72 divisors (see below), whose sum is σ = 3116988. Its totient is φ = 460800.

The previous prime is 1213591. The next prime is 1213601. The reversal of 1213600 is 63121.

It can be written as a sum of positive squares in 6 ways, for example, as 374544 + 839056 = 612^2 + 916^2 .

It is not an unprimeable number, because it can be changed into a prime (1213601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29580 + ... + 29620.

2^1213600 is an apocalyptic number.

1213600 is a gapful number since it is divisible by the number (10) 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 1213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558494).

1213600 is an abundant number, since it is smaller than the sum of its proper divisors (1903388).

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

1213600 is a wasteful number, since it uses less digits than its factorization.

1213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1213600 is about 1101.6351483136. The cubic root of 1213600 is about 106.6657986040.

Adding to 1213600 its reverse (63121), we get a palindrome (1276721).

It can be divided in two parts, 121 and 3600, that multiplied together give a square (435600 = 660²).

The spelling of 1213600 in words is "one million, two hundred thirteen thousand, six hundred".