1613848320 has 432 divisors, whose sum is σ = 6668917920. Its totient is φ = 368492544.

The previous prime is 1613848307. The next prime is 1613848331. The reversal of 1613848320 is 238483161.

1613848320 is a `hidden beast` number, since 1 + 613 + 8 + 4 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692964 + ... + 1693916.

It is an arithmetic number, because the mean of its divisors is an integer number (15437310).

Almost surely, 2^1613848320 is an apocalyptic number.

1613848320 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 1613848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334458960).

1613848320 is an abundant number, since it is smaller than the sum of its proper divisors (5055069600).

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

1613848320 is an equidigital number, since it uses as much as digits as its factorization.

1613848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1613848320 is about 40172.7310498054. The cubic root of 1613848320 is about 1172.9718009194.

The spelling of 1613848320 in words is "one billion, six hundred thirteen million, eight hundred forty-eight thousand, three hundred twenty".