61582432 has 36 divisors (see below), whose sum is σ = 128811060. Its totient is φ = 28975616.

The previous prime is 61582429. The next prime is 61582441. The reversal of 61582432 is 23428516.

61582432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61582394 and 61582403.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5919 + ... + 12577.

It is an arithmetic number, because the mean of its divisors is an integer number (3578085).

Almost surely, 2^61582432 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 61582432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64405530).

61582432 is an abundant number, since it is smaller than the sum of its proper divisors (67228628).

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

61582432 is a wasteful number, since it uses less digits than its factorization.

61582432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6678 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 61582432 is about 7847.4474830992. The cubic root of 61582432 is about 394.8986162919.

The spelling of 61582432 in words is "sixty-one million, five hundred eighty-two thousand, four hundred thirty-two".