2120328 has 72 divisors (see below), whose sum is σ = 6691230. Its totient is φ = 604800.

The previous prime is 2120317. The next prime is 2120329. The reversal of 2120328 is 8230212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1483524 + 636804 = 1218^2 + 798^2 .

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 self number, because there is not a number n which added to its sum of digits gives 2120328.

It is not an unprimeable number, because it can be changed into a prime (2120329) by changing a digit.

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, 3228 + ... + 3828.

2^2120328 is an apocalyptic number.

2120328 is a gapful number since it is divisible by the number (28) 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 2120328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345615).

2120328 is an abundant number, since it is smaller than the sum of its proper divisors (4570902).

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

2120328 is a wasteful number, since it uses less digits than its factorization.

2120328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2120328 is about 1456.1346091622. The cubic root of 2120328 is about 128.4697905740.

The spelling of 2120328 in words is "two million, one hundred twenty thousand, three hundred twenty-eight".