1216400 has 30 divisors (see below), whose sum is σ = 2923362. Its totient is φ = 486400.

The previous prime is 1216393. The next prime is 1216417. The reversal of 1216400 is 46121.

It can be written as a sum of positive squares in 3 ways, for example, as 355216 + 861184 = 596^2 + 928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1121 + ... + 1920.

2^1216400 is an apocalyptic number.

1216400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216400 is an abundant number, since it is smaller than the sum of its proper divisors (1706962).

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

1216400 is a wasteful number, since it uses less digits than its factorization.

1216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1216400 is about 1102.9052543170. The cubic root of 1216400 is about 106.7477681818.

It can be divided in two parts, 121 and 6400, that multiplied together give a square (774400 = 880²).

The spelling of 1216400 in words is "one million, two hundred sixteen thousand, four hundred".