61616256 has 64 divisors (see below), whose sum is σ = 176272320. Its totient is φ = 18957312.

The previous prime is 61616249. The next prime is 61616257. The reversal of 61616256 is 65261616.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61616257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1180 + ... + 11163.

It is an arithmetic number, because the mean of its divisors is an integer number (2754255).

Almost surely, 2^61616256 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 61616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88136160).

61616256 is an abundant number, since it is smaller than the sum of its proper divisors (114656064).

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

61616256 is a wasteful number, since it uses less digits than its factorization.

61616256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12373 (or 12361 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 61616256 is about 7849.6022829185. The cubic root of 61616256 is about 394.9709020920.

The spelling of 61616256 in words is "sixty-one million, six hundred sixteen thousand, two hundred fifty-six".