61636680 has 256 divisors, whose sum is σ = 243302400. Its totient is φ = 13582080.

The previous prime is 61636667. The next prime is 61636691. The reversal of 61636680 is 8663616.

61636680 is a `hidden beast` number, since 616 + 36 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234229 + ... + 234491.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 2^61636680 is an apocalyptic number.

61636680 is a gapful number since it is divisible by the number (60) 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 61636680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121651200).

61636680 is an abundant number, since it is smaller than the sum of its proper divisors (181665720).

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

61636680 is a wasteful number, since it uses less digits than its factorization.

61636680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 61636680 is about 7850.9031327612. The cubic root of 61636680 is about 395.0145377334.

The spelling of 61636680 in words is "sixty-one million, six hundred thirty-six thousand, six hundred eighty".