61644016 has 40 divisors (see below), whose sum is σ = 138245120. Its totient is φ = 26080704.

The previous prime is 61644013. The next prime is 61644019. The reversal of 61644016 is 61044616.

It is an interprime number because it is at equal distance from previous prime (61644013) and next prime (61644019).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61644013) 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, 5365 + ... + 12331.

It is an arithmetic number, because the mean of its divisors is an integer number (3456128).

Almost surely, 2^61644016 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 61644016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69122560).

61644016 is an abundant number, since it is smaller than the sum of its proper divisors (76601104).

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

61644016 is a wasteful number, since it uses less digits than its factorization.

61644016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 61644016 is about 7851.3703262552. The cubic root of 61644016 is about 395.0302086601.

The spelling of 61644016 in words is "sixty-one million, six hundred forty-four thousand, sixteen".