610632 has 64 divisors (see below), whose sum is σ = 1857600. Its totient is φ = 184320.

The previous prime is 610619. The next prime is 610633. The reversal of 610632 is 236016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (610633) by changing a digit.

610632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2248 + ... + 2504.

It is an arithmetic number, because the mean of its divisors is an integer number (29025).

2⁶¹⁰⁶³² 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 610632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928800).

610632 is an abundant number, since it is smaller than the sum of its proper divisors (1246968).

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

610632 is a wasteful number, since it uses less digits than its factorization.

610632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 610632 is about 781.4294593884. The cubic root of 610632 is about 84.8385400940.

Adding to 610632 its reverse (236016), we get a palindrome (846648).

The spelling of 610632 in words is "six hundred ten thousand, six hundred thirty-two".