61916736 has 112 divisors (see below), whose sum is σ = 195462144. Its totient is φ = 16912896.

The previous prime is 61916731. The next prime is 61916761. The reversal of 61916736 is 63761916.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 61916694 and 61916703.

It is not an unprimeable number, because it can be changed into a prime (61916731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29911 + ... + 31913.

Almost surely, 2^61916736 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 61916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97731072).

61916736 is an abundant number, since it is smaller than the sum of its proper divisors (133545408).

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

61916736 is a wasteful number, since it uses less digits than its factorization.

61916736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2038 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 61916736 is about 7868.7188283735. The cubic root of 61916736 is about 395.6119042357.

The spelling of 61916736 in words is "sixty-one million, nine hundred sixteen thousand, seven hundred thirty-six".