61688256 has 168 divisors, whose sum is σ = 194584320. Its totient is φ = 17192448.

The previous prime is 61688251. The next prime is 61688261. The reversal of 61688256 is 65288616.

It is an interprime number because it is at equal distance from previous prime (61688251) and next prime (61688261).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61688251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743191 + ... + 743273.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^61688256 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 61688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

61688256 is an abundant number, since it is smaller than the sum of its proper divisors (132896064).

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

61688256 is a wasteful number, since it uses less digits than its factorization.

61688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 61688256 is about 7854.1871635453. The cubic root of 61688256 is about 395.1246863755.

The spelling of 61688256 in words is "sixty-one million, six hundred eighty-eight thousand, two hundred fifty-six".