610850880 has 168 divisors, whose sum is σ = 2120795352. Its totient is φ = 161366016.

The previous prime is 610850833. The next prime is 610850881. The reversal of 610850880 is 88058016.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 608707584 = 1464^2 + 24672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610850881) 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, 324502 + ... + 326378.

Almost surely, 2^610850880 is an apocalyptic number.

610850880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060397676).

610850880 is an abundant number, since it is smaller than the sum of its proper divisors (1509944472).

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

610850880 is a wasteful number, since it uses less digits than its factorization.

610850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 610850880 is about 24715.3976298177. The cubic root of 610850880 is about 848.4867562645.

The spelling of 610850880 in words is "six hundred ten million, eight hundred fifty thousand, eight hundred eighty".