2061600 has 72 divisors (see below), whose sum is σ = 6718320. Its totient is φ = 549120.

The previous prime is 2061599. The next prime is 2061601. The reversal of 2061600 is 61602.

2061600 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (2061599) and next prime (2061601).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2061600.

It is not an unprimeable number, because it can be changed into a prime (2061601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1971 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (93310).

2^2061600 is an apocalyptic number.

2061600 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 2061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359160).

2061600 is an abundant number, since it is smaller than the sum of its proper divisors (4656720).

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

2061600 is a wasteful number, since it uses less digits than its factorization.

2061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2061600 is about 1435.8272876638. The cubic root of 2061600 is about 127.2725664809.

The spelling of 2061600 in words is "two million, sixty-one thousand, six hundred".