610626016 has 144 divisors (see below), whose sum is σ = 1627268832. Its totient is φ = 219479040.

The previous prime is 610625969. The next prime is 610626017.

610626016 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610626017) 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 23 ways as a sum of consecutive naturals, for example, 351486 + ... + 353218.

It is an arithmetic number, because the mean of its divisors is an integer number (11300478).

Almost surely, 2^610626016 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 610626016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813634416).

610626016 is an abundant number, since it is smaller than the sum of its proper divisors (1016642816).

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

610626016 is a wasteful number, since it uses less digits than its factorization.

610626016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 610626016 is about 24710.8481440844. The cubic root of 610626016 is about 848.3826296282.

It can be divided in two parts, 610 and 626016, that added together give a palindrome (626626).

The spelling of 610626016 in words is "six hundred ten million, six hundred twenty-six thousand, sixteen".