61556736 has 96 divisors (see below), whose sum is σ = 168648480. Its totient is φ = 19955712.

The previous prime is 61556723. The next prime is 61556743. The reversal of 61556736 is 63765516.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 61556694 and 61556703.

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, 264076 + ... + 264308.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 2^61556736 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 61556736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84324240).

61556736 is an abundant number, since it is smaller than the sum of its proper divisors (107091744).

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

61556736 is a wasteful number, since it uses less digits than its factorization.

61556736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 61556736 is about 7845.8100920173. The cubic root of 61556736 is about 394.8436832739.

The spelling of 61556736 in words is "sixty-one million, five hundred fifty-six thousand, seven hundred thirty-six".