61106832 has 80 divisors (see below), whose sum is σ = 180186880. Its totient is φ = 19813248.

The previous prime is 61106819. The next prime is 61106849. The reversal of 61106832 is 23860116.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61106796 and 61106805.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14073 + ... + 17895.

It is an arithmetic number, because the mean of its divisors is an integer number (2252336).

Almost surely, 2^61106832 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 61106832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90093440).

61106832 is an abundant number, since it is smaller than the sum of its proper divisors (119080048).

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

61106832 is a wasteful number, since it uses less digits than its factorization.

61106832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61106832 is about 7817.0859020482. The cubic root of 61106832 is about 393.8793896763.

Adding to 61106832 its reverse (23860116), we get a palindrome (84966948).

The spelling of 61106832 in words is "sixty-one million, one hundred six thousand, eight hundred thirty-two".