61679008 has 48 divisors (see below), whose sum is σ = 127685376. Its totient is φ = 29272320.

The previous prime is 61679003. The next prime is 61679011. The reversal of 61679008 is 80097616.

It is not an unprimeable number, because it can be changed into a prime (61679003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132985 + ... + 133447.

It is an arithmetic number, because the mean of its divisors is an integer number (2660112).

Almost surely, 2^61679008 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 61679008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63842688).

61679008 is an abundant number, since it is smaller than the sum of its proper divisors (66006368).

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

61679008 is a wasteful number, since it uses less digits than its factorization.

61679008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 61679008 is about 7853.5984109197. The cubic root of 61679008 is about 395.1049403388.

The spelling of 61679008 in words is "sixty-one million, six hundred seventy-nine thousand, eight".