61265808 has 100 divisors (see below), whose sum is σ = 181803468. Its totient is φ = 19906560.

The previous prime is 61265803. The next prime is 61265819. The reversal of 61265808 is 80856216.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 38340864 = 4788^2 + 6192^2 .

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 (61265801) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52560 + ... + 53712.

Almost surely, 2^61265808 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 61265808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90901734).

61265808 is an abundant number, since it is smaller than the sum of its proper divisors (120537660).

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

61265808 is a wasteful number, since it uses less digits than its factorization.

61265808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1199 counting only the distinct ones).

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

The square root of 61265808 is about 7827.2477921681. The cubic root of 61265808 is about 394.2206670982.

The spelling of 61265808 in words is "sixty-one million, two hundred sixty-five thousand, eight hundred eight".