610808952 has 128 divisors (see below), whose sum is σ = 1687795200. Its totient is φ = 183071232.

The previous prime is 610808879. The next prime is 610808969. The reversal of 610808952 is 259808016.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 610808952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667174 + ... + 2667402.

It is an arithmetic number, because the mean of its divisors is an integer number (13185900).

Almost surely, 2^610808952 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 610808952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843897600).

610808952 is an abundant number, since it is smaller than the sum of its proper divisors (1076986248).

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

610808952 is a wasteful number, since it uses less digits than its factorization.

610808952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 610808952 is about 24714.5493990888. The cubic root of 610808952 is about 848.4673428158.

The spelling of 610808952 in words is "six hundred ten million, eight hundred eight thousand, nine hundred fifty-two".