61106880 has 112 divisors (see below), whose sum is σ = 197839584. Its totient is φ = 15974400.

The previous prime is 61106879. The next prime is 61106911. The reversal of 61106880 is 8860116.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 50280 + ... + 51480.

Almost surely, 2^61106880 is an apocalyptic number.

61106880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98919792).

61106880 is an abundant number, since it is smaller than the sum of its proper divisors (136732704).

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

61106880 is a wasteful number, since it uses less digits than its factorization.

61106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 61106880 is about 7817.0889722454. The cubic root of 61106880 is about 393.8794928083.

Adding to 61106880 its reverse (8860116), we get a palindrome (69966996).

The spelling of 61106880 in words is "sixty-one million, one hundred six thousand, eight hundred eighty".