61663824 has 30 divisors (see below), whose sum is σ = 172573466. Its totient is φ = 20554560.

The previous prime is 61663813. The next prime is 61663829. The reversal of 61663824 is 42836616.

61663824 is a `hidden beast` number, since 6 + 16 + 638 + 2 + 4 = 666.

61663824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38044224 + 23619600 = 6168^2 + 4860^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61663829) 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 5 ways as a sum of consecutive naturals, for example, 213967 + ... + 214254.

Almost surely, 2^61663824 is an apocalyptic number.

It is an amenable number.

61663824 is an abundant number, since it is smaller than the sum of its proper divisors (110909642).

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

61663824 is a wasteful number, since it uses less digits than its factorization.

61663824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428235 (or 428226 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 61663824 is about 7852.6316607874. The cubic root of 61663824 is about 395.0725156615.

The spelling of 61663824 in words is "sixty-one million, six hundred sixty-three thousand, eight hundred twenty-four".