61200 has 90 divisors (see below), whose sum is σ = 224874. Its totient is φ = 15360.

The previous prime is 61169. The next prime is 61211. The reversal of 61200 is 216.

61200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 51984 = 96^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61200.

It is an unprimeable number.

61200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3592 + ... + 3608.

2⁶¹²⁰⁰ is an apocalyptic number.

61200 is a gapful number since it is divisible by the number (60) 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 61200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112437).

61200 is an abundant number, since it is smaller than the sum of its proper divisors (163674).

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

61200 is a wasteful number, since it uses less digits than its factorization.

61200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 61200 is about 247.3863375371. The cubic root of 61200 is about 39.4079467252.

Adding to 61200 its reverse (216), we get a palindrome (61416).

The spelling of 61200 in words is "sixty-one thousand, two hundred".