610831872 has 240 divisors, whose sum is σ = 2087411040. Its totient is φ = 168247296.

The previous prime is 610831867. The next prime is 610831891. The reversal of 610831872 is 278138016.

610831872 is a `hidden beast` number, since 610 + 8 + 31 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935098 + ... + 935750.

It is an arithmetic number, because the mean of its divisors is an integer number (8697546).

Almost surely, 2^610831872 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 610831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043705520).

610831872 is an abundant number, since it is smaller than the sum of its proper divisors (1476579168).

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

610831872 is a wasteful number, since it uses less digits than its factorization.

610831872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 610831872 is about 24715.0130892136. The cubic root of 610831872 is about 848.4779553149.

Adding to 610831872 its reverse (278138016), we get a palindrome (888969888).

The spelling of 610831872 in words is "six hundred ten million, eight hundred thirty-one thousand, eight hundred seventy-two".