61541600 has 72 divisors (see below), whose sum is σ = 153818280. Its totient is φ = 24030720.

The previous prime is 61541587. The next prime is 61541611. The reversal of 61541600 is 614516.

It is a nialpdrome in base 13.

It is a congruent number.

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, 33506 + ... + 35294.

It is an arithmetic number, because the mean of its divisors is an integer number (2136365).

Almost surely, 2^61541600 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 61541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76909140).

61541600 is an abundant number, since it is smaller than the sum of its proper divisors (92276680).

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

61541600 is a wasteful number, since it uses less digits than its factorization.

61541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1839 counting only the distinct ones).

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

The square root of 61541600 is about 7844.8454414348. The cubic root of 61541600 is about 394.8113183139.

The spelling of 61541600 in words is "sixty-one million, five hundred forty-one thousand, six hundred".