61610144 has 48 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 29556480.

The previous prime is 61610111. The next prime is 61610147. The reversal of 61610144 is 44101616.

It is not an unprimeable number, because it can be changed into a prime (61610147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171437 + ... + 171795.

It is an arithmetic number, because the mean of its divisors is an integer number (2630880).

Almost surely, 2^61610144 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 61610144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

61610144 is an abundant number, since it is smaller than the sum of its proper divisors (64672096).

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

61610144 is a wasteful number, since it uses less digits than its factorization.

61610144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 61610144 is about 7849.2129541757. The cubic root of 61610144 is about 394.9578419996.

The spelling of 61610144 in words is "sixty-one million, six hundred ten thousand, one hundred forty-four".