1200864 has 48 divisors (see below), whose sum is σ = 3604608. Its totient is φ = 342912.

The previous prime is 1200839. The next prime is 1200869. The reversal of 1200864 is 4680021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1200864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200869) 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, 222 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (75096).

2^1200864 is an apocalyptic number.

1200864 is a gapful number since it is divisible by the number (14) 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 1200864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802304).

1200864 is an abundant number, since it is smaller than the sum of its proper divisors (2403744).

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

1200864 is a wasteful number, since it uses less digits than its factorization.

1200864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1200864 is about 1095.8394042924. The cubic root of 1200864 is about 106.2913546055.

Adding to 1200864 its reverse (4680021), we get a palindrome (5880885).

The spelling of 1200864 in words is "one million, two hundred thousand, eight hundred sixty-four".