10613200 has 90 divisors (see below), whose sum is σ = 27786354. Its totient is φ = 3893760.

The previous prime is 10613179. The next prime is 10613233. The reversal of 10613200 is 231601.

It can be written as a sum of positive squares in 9 ways, for example, as 7817616 + 2795584 = 2796^2 + 1672^2 .

It is a super-2 number, since 2×10613200² = 225280028480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 17 ways as a sum of consecutive naturals, for example, 67522 + ... + 67678.

Almost surely, 2^10613200 is an apocalyptic number.

10613200 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 10613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13893177).

10613200 is an abundant number, since it is smaller than the sum of its proper divisors (17173154).

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

10613200 is a wasteful number, since it uses less digits than its factorization.

10613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

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

The square root of 10613200 is about 3257.7906623968. The cubic root of 10613200 is about 219.7600690060.

Adding to 10613200 its reverse (231601), we get a palindrome (10844801).

The spelling of 10613200 in words is "ten million, six hundred thirteen thousand, two hundred".