61109800 has 48 divisors (see below), whose sum is σ = 144438300. Its totient is φ = 24038400.

The previous prime is 61109791. The next prime is 61109819. The reversal of 61109800 is 890116.

It can be written as a sum of positive squares in 6 ways, for example, as 6320196 + 54789604 = 2514^2 + 7402^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 9696 + ... + 14704.

Almost surely, 2^61109800 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 61109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72219150).

61109800 is an abundant number, since it is smaller than the sum of its proper divisors (83328500).

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

61109800 is a wasteful number, since it uses less digits than its factorization.

61109800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 61109800 is about 7817.2757403075. The cubic root of 61109800 is about 393.8857665688.

Adding to 61109800 its reverse (890116), we get a palindrome (61999916).

The spelling of 61109800 in words is "sixty-one million, one hundred nine thousand, eight hundred".