4166100 has 72 divisors (see below), whose sum is σ = 13401920. Its totient is φ = 1110240.

The previous prime is 4166093. The next prime is 4166101. The reversal of 4166100 is 16614.

4166100 is a `hidden beast` number, since 4 + 1 + 661 + 0 + 0 = 666.

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 (4166101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1929 + ... + 3471.

Almost surely, 2^4166100 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 4166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700960).

4166100 is an abundant number, since it is smaller than the sum of its proper divisors (9235820).

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

4166100 is a wasteful number, since it uses less digits than its factorization.

4166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1553 counting only the distinct ones).

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

The square root of 4166100 is about 2041.1026431809. The cubic root of 4166100 is about 160.9076022949.

The spelling of 4166100 in words is "four million, one hundred sixty-six thousand, one hundred".