61563288 has 64 divisors (see below), whose sum is σ = 160380000. Its totient is φ = 19668992.

The previous prime is 61563269. The next prime is 61563289. The reversal of 61563288 is 88236516.

It is a happy number.

61563288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61563289) 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 15 ways as a sum of consecutive naturals, for example, 136888 + ... + 137336.

Almost surely, 2^61563288 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 61563288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80190000).

61563288 is an abundant number, since it is smaller than the sum of its proper divisors (98816712).

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

61563288 is a wasteful number, since it uses less digits than its factorization.

61563288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 61563288 is about 7846.2276286124. The cubic root of 61563288 is about 394.8576916192.

It can be divided in two parts, 615 and 63288, that added together give a triangular number (63903 = T₃₅₇).

The spelling of 61563288 in words is "sixty-one million, five hundred sixty-three thousand, two hundred eighty-eight".