61720416 has 72 divisors (see below), whose sum is σ = 179832744. Its totient is φ = 20067840.

The previous prime is 61720397. The next prime is 61720423. The reversal of 61720416 is 61402716.

61720416 is a `hidden beast` number, since 617 + 2 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 61720416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9195 + ... + 14421.

It is an arithmetic number, because the mean of its divisors is an integer number (2497677).

Almost surely, 2^61720416 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 61720416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89916372).

61720416 is an abundant number, since it is smaller than the sum of its proper divisors (118112328).

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

61720416 is a wasteful number, since it uses less digits than its factorization.

61720416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61720416 is about 7856.2342123946. The cubic root of 61720416 is about 395.1933380291.

The spelling of 61720416 in words is "sixty-one million, seven hundred twenty thousand, four hundred sixteen".