61966944 has 144 divisors (see below), whose sum is σ = 197123472. Its totient is φ = 19035648.

The previous prime is 61966937. The next prime is 61966969. The reversal of 61966944 is 44966916.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61966944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100782 + ... + 101394.

It is an arithmetic number, because the mean of its divisors is an integer number (1368913).

Almost surely, 2^61966944 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 61966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98561736).

61966944 is an abundant number, since it is smaller than the sum of its proper divisors (135156528).

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

61966944 is a wasteful number, since it uses less digits than its factorization.

61966944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 631 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 61966944 is about 7871.9085360540. The cubic root of 61966944 is about 395.7188086436.

The spelling of 61966944 in words is "sixty-one million, nine hundred sixty-six thousand, nine hundred forty-four".