610720 has 48 divisors (see below), whose sum is σ = 1578528. Its totient is φ = 221440.

The previous prime is 610703. The next prime is 610721. The reversal of 610720 is 27016.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 610694 and 610703.

It is not an unprimeable number, because it can be changed into a prime (610721) by changing a digit.

610720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1587 + ... + 1933.

It is an arithmetic number, because the mean of its divisors is an integer number (32886).

2⁶¹⁰⁷²⁰ 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 610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789264).

610720 is an abundant number, since it is smaller than the sum of its proper divisors (967808).

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

610720 is a wasteful number, since it uses less digits than its factorization.

610720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 610720 is about 781.4857644257. The cubic root of 610720 is about 84.8426153433.

Adding to 610720 its reverse (27016), we get a palindrome (637736).

The spelling of 610720 in words is "six hundred ten thousand, seven hundred twenty".