61002720 has 168 divisors, whose sum is σ = 216492696. Its totient is φ = 16236288.

The previous prime is 61002719. The next prime is 61002727. The reversal of 61002720 is 2720016.

It is a happy number.

61002720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61002693 and 61002702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61002727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116379 + ... + 116901.

It is an arithmetic number, because the mean of its divisors is an integer number (1288647).

Almost surely, 2^61002720 is an apocalyptic number.

61002720 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 61002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108246348).

61002720 is an abundant number, since it is smaller than the sum of its proper divisors (155489976).

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

61002720 is an equidigital number, since it uses as much as digits as its factorization.

61002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61002720 is about 7810.4238041223. The cubic root of 61002720 is about 393.6555691917.

Adding to 61002720 its reverse (2720016), we get a palindrome (63722736).

The spelling of 61002720 in words is "sixty-one million, two thousand, seven hundred twenty".