610122240 has 640 divisors, whose sum is σ = 2694827520. Its totient is φ = 127401984.

The previous prime is 610122229. The next prime is 610122269. The reversal of 610122240 is 42221016.

610122240 is a `hidden beast` number, since 610 + 12 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289872 + ... + 6289968.

It is an arithmetic number, because the mean of its divisors is an integer number (4210668).

Almost surely, 2^610122240 is an apocalyptic number.

610122240 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 610122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347413760).

610122240 is an abundant number, since it is smaller than the sum of its proper divisors (2084705280).

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

610122240 is a wasteful number, since it uses less digits than its factorization.

610122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 610122240 is about 24700.6526229572. The cubic root of 610122240 is about 848.1492557976.

Adding to 610122240 its reverse (42221016), we get a palindrome (652343256).

The spelling of 610122240 in words is "six hundred ten million, one hundred twenty-two thousand, two hundred forty".