61636968 has 96 divisors (see below), whose sum is σ = 181663560. Its totient is φ = 18800640.

The previous prime is 61636957. The next prime is 61636973. The reversal of 61636968 is 86963616.

61636968 is a `hidden beast` number, since 6 + 1 + 636 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59259204 + 2377764 = 7698^2 + 1542^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44608 + ... + 45968.

Almost surely, 2^61636968 is an apocalyptic number.

61636968 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 61636968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90831780).

61636968 is an abundant number, since it is smaller than the sum of its proper divisors (120026592).

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

61636968 is a wasteful number, since it uses less digits than its factorization.

61636968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1420 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 61636968 is about 7850.9214745786. The cubic root of 61636968 is about 395.0151529731.

It can be divided in two parts, 6163 and 6968, that added together give a palindrome (13131).

The spelling of 61636968 in words is "sixty-one million, six hundred thirty-six thousand, nine hundred sixty-eight".