61106920 has 48 divisors (see below), whose sum is σ = 159943140. Its totient is φ = 20950272.

The previous prime is 61106917. The next prime is 61106923. The reversal of 61106920 is 2960116.

61106920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61106917) and next prime (61106923).

It can be written as a sum of positive squares in 2 ways, for example, as 60808804 + 298116 = 7798^2 + 546^2 .

It is not an unprimeable number, because it can be changed into a prime (61106923) 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 11 ways as a sum of consecutive naturals, for example, 13629 + ... + 17548.

Almost surely, 2^61106920 is an apocalyptic number.

It is an amenable number.

61106920 is an abundant number, since it is smaller than the sum of its proper divisors (98836220).

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

61106920 is a wasteful number, since it uses less digits than its factorization.

61106920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31202 (or 31191 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 61106920 is about 7817.0915307421. The cubic root of 61106920 is about 393.8795787516.

It can be divided in two parts, 61106 and 920, that added together give a palindrome (62026).

The spelling of 61106920 in words is "sixty-one million, one hundred six thousand, nine hundred twenty".