610045632 has 168 divisors, whose sum is σ = 2027480832. Its totient is φ = 171763200.

The previous prime is 610045591. The next prime is 610045633. The reversal of 610045632 is 236540016.

610045632 is a `hidden beast` number, since 610 + 0 + 45 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 610045596 and 610045605.

It is not an unprimeable number, because it can be changed into a prime (610045633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285207 + ... + 287337.

Almost surely, 2^610045632 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 610045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013740416).

610045632 is an abundant number, since it is smaller than the sum of its proper divisors (1417435200).

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

610045632 is a wasteful number, since it uses less digits than its factorization.

610045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 610045632 is about 24699.1018460186. The cubic root of 610045632 is about 848.1137559510.

Adding to 610045632 its reverse (236540016), we get a palindrome (846585648).

The spelling of 610045632 in words is "six hundred ten million, forty-five thousand, six hundred thirty-two".