610967952 has 360 divisors, whose sum is σ = 2181538944. Its totient is φ = 156017664.

The previous prime is 610967893. The next prime is 610967977. The reversal of 610967952 is 259769016.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 610967898 and 610967907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8369388 + ... + 8369460.

Almost surely, 2^610967952 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 610967952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090769472).

610967952 is an abundant number, since it is smaller than the sum of its proper divisors (1570570992).

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

610967952 is a wasteful number, since it uses less digits than its factorization.

610967952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 610967952 is about 24717.7659184644. The cubic root of 610967952 is about 848.5409580889.

The spelling of 610967952 in words is "six hundred ten million, nine hundred sixty-seven thousand, nine hundred fifty-two".