1364162616 has 72 divisors (see below), whose sum is σ = 3782895480. Its totient is φ = 444102624.

The previous prime is 1364162593. The next prime is 1364162617. The reversal of 1364162616 is 6162614631.

It is a happy number.

1364162616 is a `hidden beast` number, since 1 + 3 + 641 + 6 + 2 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364162617) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128005 + ... + 138251.

It is an arithmetic number, because the mean of its divisors is an integer number (52540215).

Almost surely, 2^1364162616 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 1364162616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891447740).

1364162616 is an abundant number, since it is smaller than the sum of its proper divisors (2418732864).

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

1364162616 is a wasteful number, since it uses less digits than its factorization.

1364162616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10345 (or 10295 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1364162616 is about 36934.5720971558. The cubic root of 1364162616 is about 1109.0608662340.

The spelling of 1364162616 in words is "one billion, three hundred sixty-four million, one hundred sixty-two thousand, six hundred sixteen".