61868256 has 96 divisors (see below), whose sum is σ = 173093760. Its totient is φ = 19293696.

The previous prime is 61868239. The next prime is 61868267. The reversal of 61868256 is 65286816.

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

It is a super-2 number, since 2×61868256² = 7655362200963072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 195010 + ... + 195326.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 2^61868256 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 61868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86546880).

61868256 is an abundant number, since it is smaller than the sum of its proper divisors (111225504).

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

61868256 is a wasteful number, since it uses less digits than its factorization.

61868256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

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

The square root of 61868256 is about 7865.6376728146. The cubic root of 61868256 is about 395.5086242814.

The spelling of 61868256 in words is "sixty-one million, eight hundred sixty-eight thousand, two hundred fifty-six".