4100616 has 72 divisors (see below), whose sum is σ = 12061530. Its totient is φ = 1257984.

The previous prime is 4100611. The next prime is 4100627. The reversal of 4100616 is 6160014.

It can be written as a sum of positive squares in 3 ways, for example, as 1572516 + 2528100 = 1254^2 + 1590^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100611) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12000 + ... + 12336.

Almost surely, 2^4100616 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 4100616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030765).

4100616 is an abundant number, since it is smaller than the sum of its proper divisors (7960914).

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

4100616 is a wasteful number, since it uses less digits than its factorization.

4100616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4100616 is about 2024.9977777766. The cubic root of 4100616 is about 160.0600816026.

The spelling of 4100616 in words is "four million, one hundred thousand, six hundred sixteen".