616343040 has 320 divisors, whose sum is σ = 2257801920. Its totient is φ = 159252480.

The previous prime is 616343009. The next prime is 616343051. The reversal of 616343040 is 40343616.

616343040 is a `hidden beast` number, since 616 + 3 + 4 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 a junction number, because it is equal to n+sod(n) for n = 616342995 and 616343013.

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 31 ways as a sum of consecutive naturals, for example, 2557320 + ... + 2557560.

It is an arithmetic number, because the mean of its divisors is an integer number (7055631).

Almost surely, 2^616343040 is an apocalyptic number.

616343040 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 616343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128900960).

616343040 is an abundant number, since it is smaller than the sum of its proper divisors (1641458880).

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

616343040 is a wasteful number, since it uses less digits than its factorization.

616343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 616343040 is about 24826.2570678707. The cubic root of 616343040 is about 851.0220876775.

Adding to 616343040 its reverse (40343616), we get a palindrome (656686656).

The spelling of 616343040 in words is "six hundred sixteen million, three hundred forty-three thousand, forty".