61968256 has 128 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 24330240.

The previous prime is 61968241. The next prime is 61968293. The reversal of 61968256 is 65286916.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×61968256³ (a number of 24 digits) contains 333 as substring.

Its product of digits (155520) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638800 + ... + 638896.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 2^61968256 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 61968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

61968256 is an abundant number, since it is smaller than the sum of its proper divisors (91570304).

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

61968256 is a wasteful number, since it uses less digits than its factorization.

61968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 61968256 is about 7871.9918699145. The cubic root of 61968256 is about 395.7216014198.

The spelling of 61968256 in words is "sixty-one million, nine hundred sixty-eight thousand, two hundred fifty-six".