1364625216 has 84 divisors (see below), whose sum is σ = 3940230372. Its totient is φ = 451528704.

The previous prime is 1364625193. The next prime is 1364625233. The reversal of 1364625216 is 6125264631.

1364625216 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 625 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 359481600 + 1005143616 = 18960^2 + 31704^2 .

It is a super-3 number, since 3×1364625216³ (a number of 28 digits) contains 333 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 11 ways as a sum of consecutive naturals, for example, 70266 + ... + 87558.

Almost surely, 2^1364625216 is an apocalyptic number.

1364625216 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 1364625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970115186).

1364625216 is an abundant number, since it is smaller than the sum of its proper divisors (2575605156).

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

1364625216 is a wasteful number, since it uses less digits than its factorization.

1364625216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17448 (or 17435 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 1364625216 is about 36940.8339916684. The cubic root of 1364625216 is about 1109.1862162884.

Adding to 1364625216 its reverse (6125264631), we get a palindrome (7489889847).

The spelling of 1364625216 in words is "one billion, three hundred sixty-four million, six hundred twenty-five thousand, two hundred sixteen".