4064100 has 144 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 950400.

The previous prime is 4064083. The next prime is 4064107. The reversal of 4064100 is 14604.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4064100.

It is not an unprimeable number, because it can be changed into a prime (4064107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131085 + ... + 131115.

Almost surely, 2^4064100 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 4064100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

4064100 is an abundant number, since it is smaller than the sum of its proper divisors (9268380).

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

4064100 is a wasteful number, since it uses less digits than its factorization.

4064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4064100 is about 2015.9613091525. The cubic root of 4064100 is about 159.5835524285.

Adding to 4064100 its reverse (14604), we get a palindrome (4078704).

The spelling of 4064100 in words is "four million, sixty-four thousand, one hundred".