610542240 has 192 divisors, whose sum is σ = 2397911040. Its totient is φ = 126858240.

The previous prime is 610542239. The next prime is 610542253. The reversal of 610542240 is 42245016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 610542240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28701 + ... + 45219.

It is an arithmetic number, because the mean of its divisors is an integer number (12489120).

Almost surely, 2^610542240 is an apocalyptic number.

610542240 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 610542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198955520).

610542240 is an abundant number, since it is smaller than the sum of its proper divisors (1787368800).

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

610542240 is a wasteful number, since it uses less digits than its factorization.

610542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16555 (or 16547 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 610542240 is about 24709.1529599863. The cubic root of 610542240 is about 848.3438293632.

Adding to 610542240 its reverse (42245016), we get a palindrome (652787256).

The spelling of 610542240 in words is "six hundred ten million, five hundred forty-two thousand, two hundred forty".