1960800 has 144 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 483840.

The previous prime is 1960799. The next prime is 1960813. The reversal of 1960800 is 80691.

1960800 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45579 + ... + 45621.

It is an arithmetic number, because the mean of its divisors is an integer number (47740).

2^1960800 is an apocalyptic number.

1960800 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 1960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

1960800 is an abundant number, since it is smaller than the sum of its proper divisors (4913760).

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

1960800 is a wasteful number, since it uses less digits than its factorization.

1960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1960800 is about 1400.2856851371. The cubic root of 1960800 is about 125.1635193315.

The spelling of 1960800 in words is "one million, nine hundred sixty thousand, eight hundred".