61736568 has 64 divisors (see below), whose sum is σ = 158976000. Its totient is φ = 19969152.

The previous prime is 61736513. The next prime is 61736581. The reversal of 61736568 is 86563716.

61736568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61736568² = 7622807656837248, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 258193 + ... + 258431.

It is an arithmetic number, because the mean of its divisors is an integer number (2484000).

Almost surely, 2^61736568 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 61736568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79488000).

61736568 is an abundant number, since it is smaller than the sum of its proper divisors (97239432).

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

61736568 is a wasteful number, since it uses less digits than its factorization.

61736568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 61736568 is about 7857.2621185754. The cubic root of 61736568 is about 395.2278085575.

The spelling of 61736568 in words is "sixty-one million, seven hundred thirty-six thousand, five hundred sixty-eight".