610489824 has 144 divisors (see below), whose sum is σ = 1875536208. Its totient is φ = 173365248.

The previous prime is 610489813. The next prime is 610489837. The reversal of 610489824 is 428984016.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 1095754 + ... + 1096310.

It is an arithmetic number, because the mean of its divisors is an integer number (13024557).

Almost surely, 2^610489824 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 610489824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937768104).

610489824 is an abundant number, since it is smaller than the sum of its proper divisors (1265046384).

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

610489824 is a wasteful number, since it uses less digits than its factorization.

610489824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 610489824 is about 24708.0922776324. The cubic root of 610489824 is about 848.3195514564.

The spelling of 610489824 in words is "six hundred ten million, four hundred eighty-nine thousand, eight hundred twenty-four".