610104960 has 192 divisors, whose sum is σ = 2185354080. Its totient is φ = 162653184.

The previous prime is 610104931. The next prime is 610104961. The reversal of 610104960 is 69401016.

610104960 is a `hidden beast` number, since 610 + 1 + 0 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (610104961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153559 + ... + 157481.

Almost surely, 2^610104960 is an apocalyptic number.

610104960 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 610104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092677040).

610104960 is an abundant number, since it is smaller than the sum of its proper divisors (1575249120).

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

610104960 is an equidigital number, since it uses as much as digits as its factorization.

610104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 610104960 is about 24700.3028321517. The cubic root of 610104960 is about 848.1412485730.

Adding to 610104960 its reverse (69401016), we get a palindrome (679505976).

It can be divided in two parts, 610 and 104960, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 610104960 in words is "six hundred ten million, one hundred four thousand, nine hundred sixty".