1363684320 has 144 divisors (see below), whose sum is σ = 4752820800. Its totient is φ = 355894272.

The previous prime is 1363684319. The next prime is 1363684331. The reversal of 1363684320 is 234863631.

1363684320 is a `hidden beast` number, since 13 + 636 + 8 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1363684320² = 3719269849227724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57606 + ... + 77754.

It is an arithmetic number, because the mean of its divisors is an integer number (33005700).

Almost surely, 2^1363684320 is an apocalyptic number.

1363684320 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 1363684320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376410400).

1363684320 is an abundant number, since it is smaller than the sum of its proper divisors (3389136480).

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

1363684320 is a wasteful number, since it uses less digits than its factorization.

1363684320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20217 (or 20206 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1363684320 is about 36928.0966203242. The cubic root of 1363684320 is about 1108.9312332568.

The spelling of 1363684320 in words is "one billion, three hundred sixty-three million, six hundred eighty-four thousand, three hundred twenty".