61567506 has 256 divisors, whose sum is σ = 197406720. Its totient is φ = 13685760.

The previous prime is 61567501. The next prime is 61567531. The reversal of 61567506 is 60576516.

It is a happy number.

61567506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61567501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 918885 + ... + 918951.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^61567506 is an apocalyptic number.

61567506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61567506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

61567506 is an abundant number, since it is smaller than the sum of its proper divisors (135839214).

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

61567506 is a wasteful number, since it uses less digits than its factorization.

61567506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 61567506 is about 7846.4964155985. The cubic root of 61567506 is about 394.8667092863.

It can be divided in two parts, 615 and 67506, that added together give a square (68121 = 261²).

The spelling of 61567506 in words is "sixty-one million, five hundred sixty-seven thousand, five hundred six".