61016144 has 80 divisors (see below), whose sum is σ = 145169280. Its totient is φ = 24261120.

The previous prime is 61016141. The next prime is 61016161. The reversal of 61016144 is 44161016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61016141) 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, 112514 + ... + 113054.

It is an arithmetic number, because the mean of its divisors is an integer number (1814616).

Almost surely, 2^61016144 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 61016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72584640).

61016144 is an abundant number, since it is smaller than the sum of its proper divisors (84153136).

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

61016144 is a wasteful number, since it uses less digits than its factorization.

61016144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

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

The square root of 61016144 is about 7811.2831212292. The cubic root of 61016144 is about 393.6844424659.

The spelling of 61016144 in words is "sixty-one million, sixteen thousand, one hundred forty-four".