1613380608 has 264 divisors, whose sum is σ = 5403097440. Its totient is φ = 454164480.

The previous prime is 1613380603. The next prime is 1613380621. The reversal of 1613380608 is 8060833161.

1613380608 is a `hidden beast` number, since 1 + 6 + 13 + 38 + 0 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613380603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5741428 + ... + 5741708.

Almost surely, 2^1613380608 is an apocalyptic number.

1613380608 is a gapful number since it is divisible by the number (18) 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 1613380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701548720).

1613380608 is an abundant number, since it is smaller than the sum of its proper divisors (3789716832).

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

1613380608 is a wasteful number, since it uses less digits than its factorization.

1613380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1613380608 is about 40166.9093657951. The cubic root of 1613380608 is about 1172.8584763509.

The spelling of 1613380608 in words is "one billion, six hundred thirteen million, three hundred eighty thousand, six hundred eight".