61205144 has 64 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 22008960.

The previous prime is 61205119. The next prime is 61205147. The reversal of 61205144 is 44150216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61205147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4187 + ... + 11829.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^61205144 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 61205144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

61205144 is an abundant number, since it is smaller than the sum of its proper divisors (92897896).

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

61205144 is a wasteful number, since it uses less digits than its factorization.

61205144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 61205144 is about 7823.3716516602. The cubic root of 61205144 is about 394.0905080365.

The spelling of 61205144 in words is "sixty-one million, two hundred five thousand, one hundred forty-four".