61805268 has 180 divisors, whose sum is σ = 199875060. Its totient is φ = 16547328.

The previous prime is 61805267. The next prime is 61805279. The reversal of 61805268 is 86250816.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 8398404 = 7308^2 + 2898^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61805267) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 269778 + ... + 270006.

It is an arithmetic number, because the mean of its divisors is an integer number (1110417).

Almost surely, 2^61805268 is an apocalyptic number.

61805268 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61805268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99937530).

61805268 is an abundant number, since it is smaller than the sum of its proper divisors (138069792).

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

61805268 is a wasteful number, since it uses less digits than its factorization.

61805268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 61805268 is about 7861.6326548625. The cubic root of 61805268 is about 395.3743564138.

The spelling of 61805268 in words is "sixty-one million, eight hundred five thousand, two hundred sixty-eight".