610429064 has 96 divisors (see below), whose sum is σ = 1422036000. Its totient is φ = 244081152.

The previous prime is 610429021. The next prime is 610429069. The reversal of 610429064 is 460924016.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 610429064.

It is not an unprimeable number, because it can be changed into a prime (610429069) 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, 925967 + ... + 926625.

It is an arithmetic number, because the mean of its divisors is an integer number (14812875).

Almost surely, 2^610429064 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 610429064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711018000).

610429064 is an abundant number, since it is smaller than the sum of its proper divisors (811606936).

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

610429064 is a wasteful number, since it uses less digits than its factorization.

610429064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 610429064 is about 24706.8626903539. The cubic root of 610429064 is about 848.2914070583.

The spelling of 610429064 in words is "six hundred ten million, four hundred twenty-nine thousand, sixty-four".