2106720 has 288 divisors, whose sum is σ = 9434880. Its totient is φ = 414720.

The previous prime is 2106679. The next prime is 2106733. The reversal of 2106720 is 276012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2106693 and 2106702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110871 + ... + 110889.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2^2106720 is an apocalyptic number.

2106720 is a gapful number since it is divisible by the number (20) 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 2106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

2106720 is an abundant number, since it is smaller than the sum of its proper divisors (7328160).

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

2106720 is a wasteful number, since it uses less digits than its factorization.

2106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2106720 is about 1451.4544429640. The cubic root of 2106720 is about 128.1943661667.

The spelling of 2106720 in words is "two million, one hundred six thousand, seven hundred twenty".