4362120 has 128 divisors (see below), whose sum is σ = 16646400. Its totient is φ = 995328.

The previous prime is 4362119. The next prime is 4362121. The reversal of 4362120 is 212634.

It is a happy number.

4362120 is a `hidden beast` number, since 43 + 621 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4362119) and next prime (4362121).

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

It is a junction number, because it is equal to n+sod(n) for n = 4362093 and 4362102.

It is not an unprimeable number, because it can be changed into a prime (4362121) 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, 7272 + ... + 7848.

It is an arithmetic number, because the mean of its divisors is an integer number (130050).

Almost surely, 2^4362120 is an apocalyptic number.

4362120 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 4362120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323200).

4362120 is an abundant number, since it is smaller than the sum of its proper divisors (12284280).

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

4362120 is a wasteful number, since it uses less digits than its factorization.

4362120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4362120 is about 2088.5688880188. The cubic root of 4362120 is about 163.3926574267.

Adding to 4362120 its reverse (212634), we get a palindrome (4574754).

It can be divided in two parts, 436 and 2120, that added together give a triangular number (2556 = T₇₁).

The spelling of 4362120 in words is "four million, three hundred sixty-two thousand, one hundred twenty".