1364896 has 48 divisors (see below), whose sum is σ = 3079944. Its totient is φ = 589824.

The previous prime is 1364861. The next prime is 1364897. The reversal of 1364896 is 6984631.

It can be written as a sum of positive squares in 4 ways, for example, as 960400 + 404496 = 980^2 + 636^2 .

It is not an unprimeable number, because it can be changed into a prime (1364897) 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, 6976 + ... + 7168.

2^1364896 is an apocalyptic number.

1364896 is a gapful number since it is divisible by the number (16) 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 1364896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539972).

1364896 is an abundant number, since it is smaller than the sum of its proper divisors (1715048).

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

1364896 is a wasteful number, since it uses less digits than its factorization.

1364896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 1364896 is about 1168.2876358158. The cubic root of 1364896 is about 110.9259577094.

It can be divided in two parts, 136 and 4896, that multiplied together give a square (665856 = 816²).

The spelling of 1364896 in words is "one million, three hundred sixty-four thousand, eight hundred ninety-six".