61553200 has 60 divisors (see below), whose sum is σ = 151914880. Its totient is φ = 23950080.

The previous prime is 61553189. The next prime is 61553207. The reversal of 61553200 is 235516.

It is a happy number.

61553200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61553207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12721 + ... + 16879.

Almost surely, 2^61553200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75957440).

61553200 is an abundant number, since it is smaller than the sum of its proper divisors (90361680).

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

61553200 is a wasteful number, since it uses less digits than its factorization.

61553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 61553200 is about 7845.5847455751. The cubic root of 61553200 is about 394.8361228016.

Adding to 61553200 its reverse (235516), we get a palindrome (61788716).

The spelling of 61553200 in words is "sixty-one million, five hundred fifty-three thousand, two hundred".