1383264 has 48 divisors (see below), whose sum is σ = 4037040. Its totient is φ = 460800.

The previous prime is 1383209. The next prime is 1383287. The reversal of 1383264 is 4623831.

It is a happy number.

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

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (84105).

2^1383264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018520).

1383264 is an abundant number, since it is smaller than the sum of its proper divisors (2653776).

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

1383264 is a wasteful number, since it uses less digits than its factorization.

1383264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1606 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1383264 is about 1176.1224426054. The cubic root of 1383264 is about 111.4213351176.

The spelling of 1383264 in words is "one million, three hundred eighty-three thousand, two hundred sixty-four".