1306800 has 180 divisors, whose sum is σ = 5112520. Its totient is φ = 316800.

The previous prime is 1306777. The next prime is 1306817. The reversal of 1306800 is 86031.

1306800 = 24³ + 25³ + ... + 48³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118795 + ... + 118805.

2^1306800 is an apocalyptic number.

1306800 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 1306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556260).

1306800 is an abundant number, since it is smaller than the sum of its proper divisors (3805720).

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

1306800 is a wasteful number, since it uses less digits than its factorization.

1306800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 21 counting only the distinct ones).

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

The square root of 1306800 is about 1143.1535329955. The cubic root of 1306800 is about 109.3292516157.

The spelling of 1306800 in words is "one million, three hundred six thousand, eight hundred".