61145600 has 120 divisors (see below), whose sum is σ = 160975188. Its totient is φ = 22937600.

The previous prime is 61145593. The next prime is 61145611. The reversal of 61145600 is 654116.

It can be written as a sum of positive squares in 6 ways, for example, as 36385024 + 24760576 = 6032^2 + 4976^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217460 + ... + 217740.

Almost surely, 2^61145600 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 61145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80487594).

61145600 is an abundant number, since it is smaller than the sum of its proper divisors (99829588).

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

61145600 is a wasteful number, since it uses less digits than its factorization.

61145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 61145600 is about 7819.5652053039. The cubic root of 61145600 is about 393.9626683517.

Adding to 61145600 its reverse (654116), we get a palindrome (61799716).

The spelling of 61145600 in words is "sixty-one million, one hundred forty-five thousand, six hundred".