61965648 has 100 divisors (see below), whose sum is σ = 181173300. Its totient is φ = 20445696.

The previous prime is 61965647. The next prime is 61965653. The reversal of 61965648 is 84656916.

It can be written as a sum of positive squares in 2 ways, for example, as 41062464 + 20903184 = 6408^2 + 4572^2 .

It is a super-3 number, since 3×61965648³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61965641) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 177378 + ... + 177726.

It is an arithmetic number, because the mean of its divisors is an integer number (1811733).

Almost surely, 2^61965648 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 61965648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90586650).

61965648 is an abundant number, since it is smaller than the sum of its proper divisors (119207652).

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

61965648 is a wasteful number, since it uses less digits than its factorization.

61965648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 61965648 is about 7871.8262175940. The cubic root of 61965648 is about 395.7160498870.

The spelling of 61965648 in words is "sixty-one million, nine hundred sixty-five thousand, six hundred forty-eight".