61000668 has 48 divisors (see below), whose sum is σ = 161148960. Its totient is φ = 19948032.

The previous prime is 61000571. The next prime is 61000727. The reversal of 61000668 is 86600016.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396 + ... + 11052.

It is an arithmetic number, because the mean of its divisors is an integer number (3357270).

Almost surely, 2^61000668 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 61000668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80574480).

61000668 is an abundant number, since it is smaller than the sum of its proper divisors (100148292).

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

61000668 is a wasteful number, since it uses less digits than its factorization.

61000668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10715 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61000668 is about 7810.2924401075. The cubic root of 61000668 is about 393.6511552340.

The spelling of 61000668 in words is "sixty-one million, six hundred sixty-eight", and thus it is an aban number.