61345536 has 72 divisors (see below), whose sum is σ = 186609024. Its totient is φ = 17525760.

The previous prime is 61345511. The next prime is 61345573. The reversal of 61345536 is 63554316.

It is a junction number, because it is equal to n+sod(n) for n = 61345497 and 61345506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 11081.

It is an arithmetic number, because the mean of its divisors is an integer number (2591792).

Almost surely, 2^61345536 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 61345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93304512).

61345536 is an abundant number, since it is smaller than the sum of its proper divisors (125263488).

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

61345536 is a wasteful number, since it uses less digits than its factorization.

61345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437 (or 11423 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 61345536 is about 7832.3391142110. The cubic root of 61345536 is about 394.3915987716.

The spelling of 61345536 in words is "sixty-one million, three hundred forty-five thousand, five hundred thirty-six".