61611200 has 84 divisors (see below), whose sum is σ = 173290992. Its totient is φ = 21120000.

The previous prime is 61611191. The next prime is 61611223. The reversal of 61611200 is 211616.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 8450 + ... + 13950.

It is an arithmetic number, because the mean of its divisors is an integer number (2062988).

Almost surely, 2^61611200 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 61611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86645496).

61611200 is an abundant number, since it is smaller than the sum of its proper divisors (111679792).

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

61611200 is a wasteful number, since it uses less digits than its factorization.

61611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 61611200 is about 7849.2802217783. The cubic root of 61611200 is about 394.9600985171.

Adding to 61611200 its reverse (211616), we get a palindrome (61822816).

The spelling of 61611200 in words is "sixty-one million, six hundred eleven thousand, two hundred".