4215600 has 90 divisors (see below), whose sum is σ = 14641796. Its totient is φ = 1123200.

The previous prime is 4215599. The next prime is 4215613. The reversal of 4215600 is 65124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3015 + ... + 4185.

Almost surely, 2^4215600 is an apocalyptic number.

4215600 is a gapful number since it is divisible by the number (40) 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 4215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320898).

4215600 is an abundant number, since it is smaller than the sum of its proper divisors (10426196).

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

4215600 is a wasteful number, since it uses less digits than its factorization.

4215600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4215600 is about 2053.1926358722. The cubic root of 4215600 is about 161.5423756247.

The spelling of 4215600 in words is "four million, two hundred fifteen thousand, six hundred".