61544016 has 80 divisors (see below), whose sum is σ = 178411200. Its totient is φ = 20310912.

The previous prime is 61544011. The next prime is 61544027. The reversal of 61544016 is 61044516.

61544016 is a `hidden beast` number, since 615 + 4 + 40 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61544011) 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, 46435 + ... + 47741.

It is an arithmetic number, because the mean of its divisors is an integer number (2230140).

Almost surely, 2^61544016 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 61544016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89205600).

61544016 is an abundant number, since it is smaller than the sum of its proper divisors (116867184).

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

61544016 is a wasteful number, since it uses less digits than its factorization.

61544016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61544016 is about 7844.9994263862. Note that the first 3 decimals coincide. The cubic root of 61544016 is about 394.8164847470.

Subtracting from 61544016 its reverse (61044516), we obtain a triangular number (499500 = T₉₉₉).

The spelling of 61544016 in words is "sixty-one million, five hundred forty-four thousand, sixteen".