61683648 has 84 divisors (see below), whose sum is σ = 176817528. Its totient is φ = 18969600.

The previous prime is 61683623. The next prime is 61683653. The reversal of 61683648 is 84638616.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31498 + ... + 33398.

Almost surely, 2^61683648 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 61683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88408764).

61683648 is an abundant number, since it is smaller than the sum of its proper divisors (115133880).

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

61683648 is a wasteful number, since it uses less digits than its factorization.

61683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1919 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 61683648 is about 7853.8938113524. The cubic root of 61683648 is about 395.1148477665.

The spelling of 61683648 in words is "sixty-one million, six hundred eighty-three thousand, six hundred forty-eight".