610053680 has 80 divisors (see below), whose sum is σ = 1453032000. Its totient is φ = 238126080.

The previous prime is 610053677. The next prime is 610053683. The reversal of 610053680 is 86350016.

It is an interprime number because it is at equal distance from previous prime (610053677) and next prime (610053683).

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

It is not an unprimeable number, because it can be changed into a prime (610053683) 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 15 ways as a sum of consecutive naturals, for example, 726701 + ... + 727539.

It is an arithmetic number, because the mean of its divisors is an integer number (18162900).

Almost surely, 2^610053680 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 610053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726516000).

610053680 is an abundant number, since it is smaller than the sum of its proper divisors (842978320).

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

610053680 is a wasteful number, since it uses less digits than its factorization.

610053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 610053680 is about 24699.2647663853. The cubic root of 610053680 is about 848.1174855023.

The spelling of 610053680 in words is "six hundred ten million, fifty-three thousand, six hundred eighty".