61106616 has 64 divisors (see below), whose sum is σ = 171482400. Its totient is φ = 20160000.

The previous prime is 61106609. The next prime is 61106623. The reversal of 61106616 is 61660116.

61106616 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 (61106609) and next prime (61106623).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61106616.

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 15 ways as a sum of consecutive naturals, for example, 20416 + ... + 23216.

Almost surely, 2^61106616 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 61106616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85741200).

61106616 is an abundant number, since it is smaller than the sum of its proper divisors (110375784).

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

61106616 is a wasteful number, since it uses less digits than its factorization.

61106616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61106616 is about 7817.0720861458. The cubic root of 61106616 is about 393.8789255817.

The spelling of 61106616 in words is "sixty-one million, one hundred six thousand, six hundred sixteen".