1995600 has 60 divisors (see below), whose sum is σ = 6396416. Its totient is φ = 531840.

The previous prime is 1995583. The next prime is 1995607. The reversal of 1995600 is 65991.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995607) 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, 369 + ... + 2031.

2^1995600 is an apocalyptic number.

1995600 is a gapful number since it is divisible by the number (10) 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 1995600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198208).

1995600 is an abundant number, since it is smaller than the sum of its proper divisors (4400816).

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

1995600 is a wasteful number, since it uses less digits than its factorization.

1995600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 1995600 is about 1412.6570709128. The cubic root of 1995600 is about 125.8996429405.

The spelling of 1995600 in words is "one million, nine hundred ninety-five thousand, six hundred".