1630800 has 120 divisors (see below), whose sum is σ = 5842880. Its totient is φ = 432000.

The previous prime is 1630781. The next prime is 1630801. The reversal of 1630800 is 80361.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10725 + ... + 10875.

2^1630800 is an apocalyptic number.

1630800 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 1630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921440).

1630800 is an abundant number, since it is smaller than the sum of its proper divisors (4212080).

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

1630800 is a wasteful number, since it uses less digits than its factorization.

1630800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1630800 is about 1277.0277992276. The cubic root of 1630800 is about 117.7064425693.

1630800 divided by its product of nonzero digits (144) gives a triangular number (11325 = T₁₅₀).

The spelling of 1630800 in words is "one million, six hundred thirty thousand, eight hundred".