1216800 has 162 divisors, whose sum is σ = 4646187. Its totient is φ = 299520.

The previous prime is 1216799. The next prime is 1216807. The reversal of 1216800 is 86121.

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 can be written as a sum of positive squares in 5 ways, for example, as 76176 + 1140624 = 276^2 + 1068^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=780.

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

It is not an unprimeable number, because it can be changed into a prime (1216807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93594 + ... + 93606.

2^1216800 is an apocalyptic number.

1216800 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 1216800

1216800 is an abundant number, since it is smaller than the sum of its proper divisors (3429387).

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

1216800 is a wasteful number, since it uses less digits than its factorization.

1216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1216800 is about 1103.0865786510. The cubic root of 1216800 is about 106.7594678496.

Multiplying 1216800 by its sum of digits (18), we get a square (21902400 = 4680²).

1216800 divided by its sum of digits (18) gives a square (67600 = 260²).

It can be divided in two parts, 1216 and 800, that added together give a triangular number (2016 = T₆₃).

The spelling of 1216800 in words is "one million, two hundred sixteen thousand, eight hundred".