610493760 has 196 divisors, whose sum is σ = 2180443188. Its totient is φ = 162736128.

The previous prime is 610493759. The next prime is 610493773. The reversal of 610493760 is 67394016.

610493760 is a `hidden beast` number, since 610 + 4 + 9 + 37 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 448084224 + 162409536 = 21168^2 + 12744^2 .

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

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 27 ways as a sum of consecutive naturals, for example, 231972 + ... + 234588.

Almost surely, 2^610493760 is an apocalyptic number.

610493760 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 610493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090221594).

610493760 is an abundant number, since it is smaller than the sum of its proper divisors (1569949428).

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

610493760 is an equidigital number, since it uses as much as digits as its factorization.

610493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 610493760 is about 24708.1719275223. The cubic root of 610493760 is about 848.3213745709.

The spelling of 610493760 in words is "six hundred ten million, four hundred ninety-three thousand, seven hundred sixty".