610400840 has 192 divisors, whose sum is σ = 1731067200. Its totient is φ = 192471552.

The previous prime is 610400789. The next prime is 610400849. The reversal of 610400840 is 48004016.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610400849) 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 47 ways as a sum of consecutive naturals, for example, 1377659 + ... + 1378101.

It is an arithmetic number, because the mean of its divisors is an integer number (9015975).

Almost surely, 2^610400840 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 610400840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865533600).

610400840 is an abundant number, since it is smaller than the sum of its proper divisors (1120666360).

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

610400840 is a wasteful number, since it uses less digits than its factorization.

610400840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 610400840 is about 24706.2915064159. The cubic root of 610400840 is about 848.2783328961.

Adding to 610400840 its reverse (48004016), we get a palindrome (658404856).

The spelling of 610400840 in words is "six hundred ten million, four hundred thousand, eight hundred forty".