61544200 has 48 divisors (see below), whose sum is σ = 144276480. Its totient is φ = 24413760.

The previous prime is 61544191. The next prime is 61544213. The reversal of 61544200 is 244516.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24189 + ... + 26611.

It is an arithmetic number, because the mean of its divisors is an integer number (3005760).

Almost surely, 2^61544200 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 61544200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72138240).

61544200 is an abundant number, since it is smaller than the sum of its proper divisors (82732280).

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

61544200 is a wasteful number, since it uses less digits than its factorization.

61544200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 61544200 is about 7845.0111535931. The cubic root of 61544200 is about 394.8168782115.

Adding to 61544200 its reverse (244516), we get a palindrome (61788716).

The spelling of 61544200 in words is "sixty-one million, five hundred forty-four thousand, two hundred".