616166040 has 128 divisors (see below), whose sum is σ = 2164216320. Its totient is φ = 137395200.

The previous prime is 616166017. The next prime is 616166041. The reversal of 616166040 is 40661616.

616166040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 616165989 and 616166007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616166041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25495 + ... + 43385.

It is an arithmetic number, because the mean of its divisors is an integer number (16907940).

Almost surely, 2^616166040 is an apocalyptic number.

616166040 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 616166040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082108160).

616166040 is an abundant number, since it is smaller than the sum of its proper divisors (1548050280).

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

616166040 is a wasteful number, since it uses less digits than its factorization.

616166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17953 (or 17949 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 616166040 is about 24822.6920377303. The cubic root of 616166040 is about 850.9406150120.

The spelling of 616166040 in words is "six hundred sixteen million, one hundred sixty-six thousand, forty".