610356560 has 80 divisors (see below), whose sum is σ = 1552936320. Its totient is φ = 221253120.

The previous prime is 610356557. The next prime is 610356563. The reversal of 610356560 is 65653016.

It is an interprime number because it is at equal distance from previous prime (610356557) and next prime (610356563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610356563) by changing a digit.

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, 341429 + ... + 343211.

It is an arithmetic number, because the mean of its divisors is an integer number (19411704).

Almost surely, 2^610356560 is an apocalyptic number.

610356560 is the 14264-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610356560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776468160).

610356560 is an abundant number, since it is smaller than the sum of its proper divisors (942579760).

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

610356560 is a wasteful number, since it uses less digits than its factorization.

610356560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 610356560 is about 24705.3953621471. The cubic root of 610356560 is about 848.2578203245.

The spelling of 610356560 in words is "six hundred ten million, three hundred fifty-six thousand, five hundred sixty".