610272768 has 160 divisors (see below), whose sum is σ = 1873808640. Its totient is φ = 172892160.

The previous prime is 610272757. The next prime is 610272779. The reversal of 610272768 is 867272016.

It is an interprime number because it is at equal distance from previous prime (610272757) and next prime (610272779).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2268538 + ... + 2268806.

It is an arithmetic number, because the mean of its divisors is an integer number (11711304).

Almost surely, 2^610272768 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 610272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936904320).

610272768 is an abundant number, since it is smaller than the sum of its proper divisors (1263535872).

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

610272768 is a wasteful number, since it uses less digits than its factorization.

610272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 610272768 is about 24703.6994800374. The cubic root of 610272768 is about 848.2190012271.

The spelling of 610272768 in words is "six hundred ten million, two hundred seventy-two thousand, seven hundred sixty-eight".