61636512 has 72 divisors (see below), whose sum is σ = 188225856. Its totient is φ = 17609088.

The previous prime is 61636499. The next prime is 61636517. The reversal of 61636512 is 21563616.

It is a super-2 number, since 2×61636512² = 7598119223052288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61636512.

It is not an unprimeable number, because it can be changed into a prime (61636517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1848 + ... + 11255.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^61636512 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 61636512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

61636512 is an abundant number, since it is smaller than the sum of its proper divisors (126589344).

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

61636512 is a wasteful number, since it uses less digits than its factorization.

61636512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13130 (or 13115 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 61636512 is about 7850.8924333479. The cubic root of 61636512 is about 395.0141788426.

It can be divided in two parts, 616 and 36512, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 61636512 in words is "sixty-one million, six hundred thirty-six thousand, five hundred twelve".