61106976 has 144 divisors (see below), whose sum is σ = 210397824. Its totient is φ = 16422912.

The previous prime is 61106971. The next prime is 61106987. The reversal of 61106976 is 67960116.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61106976.

It is not an unprimeable number, because it can be changed into a prime (61106971) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33381 + ... + 35163.

It is an arithmetic number, because the mean of its divisors is an integer number (1461096).

Almost surely, 2^61106976 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 61106976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105198912).

61106976 is an abundant number, since it is smaller than the sum of its proper divisors (149290848).

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

61106976 is a wasteful number, since it uses less digits than its factorization.

61106976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 61106976 is about 7817.0951126362. The cubic root of 61106976 is about 393.8796990721.

The spelling of 61106976 in words is "sixty-one million, one hundred six thousand, nine hundred seventy-six".