61006720 has 128 divisors (see below), whose sum is σ = 159732000. Its totient is φ = 22192128.

The previous prime is 61006717. The next prime is 61006753. The reversal of 61006720 is 2760016.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 61006691 and 61006700.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 352554 + ... + 352726.

Almost surely, 2^61006720 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 61006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79866000).

61006720 is an abundant number, since it is smaller than the sum of its proper divisors (98725280).

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

61006720 is a wasteful number, since it uses less digits than its factorization.

61006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 61006720 is about 7810.6798679756. The cubic root of 61006720 is about 393.6641731133.

Adding to 61006720 its reverse (2760016), we get a palindrome (63766736).

The spelling of 61006720 in words is "sixty-one million, six thousand, seven hundred twenty".