2007920 has 40 divisors (see below), whose sum is σ = 4917840. Its totient is φ = 760320.

The previous prime is 2007919. The next prime is 2007949. The reversal of 2007920 is 297002.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2007892 and 2007901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 860 + ... + 2180.

It is an arithmetic number, because the mean of its divisors is an integer number (122946).

2^2007920 is an apocalyptic number.

2007920 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 2007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458920).

2007920 is an abundant number, since it is smaller than the sum of its proper divisors (2909920).

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

2007920 is a wasteful number, since it uses less digits than its factorization.

2007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2007920 is about 1417.0109385605. The cubic root of 2007920 is about 126.1581955211.

The spelling of 2007920 in words is "two million, seven thousand, nine hundred twenty".