61013632 has 32 divisors (see below), whose sum is σ = 123036480. Its totient is φ = 30134016.

The previous prime is 61013609. The next prime is 61013639. The reversal of 61013632 is 23631016.

61013632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (61013639) 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 3 ways as a sum of consecutive naturals, for example, 7753 + ... + 13495.

It is an arithmetic number, because the mean of its divisors is an integer number (3844890).

Almost surely, 2^61013632 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 61013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61518240).

61013632 is an abundant number, since it is smaller than the sum of its proper divisors (62022848).

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

61013632 is an equidigital number, since it uses as much as digits as its factorization.

61013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 61013632 is about 7811.1223265290. The cubic root of 61013632 is about 393.6790398035.

Adding to 61013632 its reverse (23631016), we get a palindrome (84644648).

The spelling of 61013632 in words is "sixty-one million, thirteen thousand, six hundred thirty-two".