1955800 has 96 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 604800.

The previous prime is 1955777. The next prime is 1955801. The reversal of 1955800 is 85591.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955801) 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, 15337 + ... + 15463.

It is an arithmetic number, because the mean of its divisors is an integer number (59520).

2^1955800 is an apocalyptic number.

1955800 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 1955800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

1955800 is an abundant number, since it is smaller than the sum of its proper divisors (3758120).

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

1955800 is a wasteful number, since it uses less digits than its factorization.

1955800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 1955800 is about 1398.4991955664. The cubic root of 1955800 is about 125.0570406336.

It can be divided in two parts, 195 and 5800, that added together give a palindrome (5995).

The spelling of 1955800 in words is "one million, nine hundred fifty-five thousand, eight hundred".