61386416 has 120 divisors (see below), whose sum is σ = 157333680. Its totient is φ = 22934016.

The previous prime is 61386383. The next prime is 61386449. The reversal of 61386416 is 61468316.

61386416 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 (61386383) and next prime (61386449).

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 23 ways as a sum of consecutive naturals, for example, 193490 + ... + 193806.

It is an arithmetic number, because the mean of its divisors is an integer number (1311114).

Almost surely, 2^61386416 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 61386416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78666840).

61386416 is an abundant number, since it is smaller than the sum of its proper divisors (95947264).

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

61386416 is a wasteful number, since it uses less digits than its factorization.

61386416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 61386416 is about 7834.9483725166. The cubic root of 61386416 is about 394.4791854138.

The spelling of 61386416 in words is "sixty-one million, three hundred eighty-six thousand, four hundred sixteen".