1613709216 has 480 divisors, whose sum is σ = 5932523520. Its totient is φ = 419904000.

The previous prime is 1613709151. The next prime is 1613709217. The reversal of 1613709216 is 6129073161.

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

It is not an unprimeable number, because it can be changed into a prime (1613709217) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10686741 + ... + 10686891.

It is an arithmetic number, because the mean of its divisors is an integer number (12359424).

Almost surely, 2^1613709216 is an apocalyptic number.

1613709216 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 1613709216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966261760).

1613709216 is an abundant number, since it is smaller than the sum of its proper divisors (4318814304).

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

1613709216 is a wasteful number, since it uses less digits than its factorization.

1613709216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1613709216 is about 40170.9996888302. Note that the first 3 decimals coincide. The cubic root of 1613709216 is about 1172.9380989175.

The spelling of 1613709216 in words is "one billion, six hundred thirteen million, seven hundred nine thousand, two hundred sixteen".