61633416 has 128 divisors (see below), whose sum is σ = 180028800. Its totient is φ = 17418240.

The previous prime is 61633361. The next prime is 61633417. The reversal of 61633416 is 61433616.

61633416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (61633417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219196 + ... + 219476.

It is an arithmetic number, because the mean of its divisors is an integer number (1406475).

Almost surely, 2^61633416 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 61633416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90014400).

61633416 is an abundant number, since it is smaller than the sum of its proper divisors (118395384).

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

61633416 is a wasteful number, since it uses less digits than its factorization.

61633416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 61633416 is about 7850.6952558356. The cubic root of 61633416 is about 395.0075648821.

The spelling of 61633416 in words is "sixty-one million, six hundred thirty-three thousand, four hundred sixteen".