1216000 has 80 divisors (see below), whose sum is σ = 3191760. Its totient is φ = 460800.

The previous prime is 1215923. The next prime is 1216009. The reversal of 1216000 is 6121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63991 + ... + 64009.

It is an arithmetic number, because the mean of its divisors is an integer number (39897).

2^1216000 is an apocalyptic number.

1216000 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 1216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595880).

1216000 is an abundant number, since it is smaller than the sum of its proper divisors (1975760).

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

1216000 is an frugal number, since it uses more digits than its factorization.

1216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1216000 is about 1102.7239001672. The cubic root of 1216000 is about 106.7360659489.

The spelling of 1216000 in words is "one million, two hundred sixteen thousand".