61516416 has 64 divisors (see below), whose sum is σ = 175986720. Its totient is φ = 18926592.

The previous prime is 61516391. The next prime is 61516423. The reversal of 61516416 is 61461516.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170 + ... + 11153.

Almost surely, 2^61516416 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 61516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87993360).

61516416 is an abundant number, since it is smaller than the sum of its proper divisors (114470304).

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

61516416 is a wasteful number, since it uses less digits than its factorization.

61516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12353 (or 12341 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 61516416 is about 7843.2401467761. The cubic root of 61516416 is about 394.7574561848.

The spelling of 61516416 in words is "sixty-one million, five hundred sixteen thousand, four hundred sixteen".