61600014 has 96 divisors (see below), whose sum is σ = 166682880. Its totient is φ = 16656192.

The previous prime is 61600009. The next prime is 61600039. The reversal of 61600014 is 41000616.

61600014 is a `hidden beast` number, since 61 + 600 + 0 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 61600014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64162 + ... + 65114.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 2^61600014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61600014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83341440).

61600014 is an abundant number, since it is smaller than the sum of its proper divisors (105082866).

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

61600014 is a wasteful number, since it uses less digits than its factorization.

61600014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61600014 is about 7848.5676400220. The cubic root of 61600014 is about 394.9361943619.

The spelling of 61600014 in words is "sixty-one million, six hundred thousand, fourteen".