610852320 has 384 divisors, whose sum is σ = 2349648000. Its totient is φ = 147308544.

The previous prime is 610852309. The next prime is 610852321. The reversal of 610852320 is 23258016.

610852320 is a `hidden beast` number, since 610 + 8 + 5 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610852321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4099606 + ... + 4099754.

It is an arithmetic number, because the mean of its divisors is an integer number (6118875).

Almost surely, 2^610852320 is an apocalyptic number.

610852320 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 610852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174824000).

610852320 is an abundant number, since it is smaller than the sum of its proper divisors (1738795680).

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

610852320 is a wasteful number, since it uses less digits than its factorization.

610852320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 610852320 is about 24715.4267614379. The cubic root of 610852320 is about 848.4874229957.

The spelling of 610852320 in words is "six hundred ten million, eight hundred fifty-two thousand, three hundred twenty".