1613374560 has 288 divisors, whose sum is σ = 6566676480. Its totient is φ = 352687104.

The previous prime is 1613374549. The next prime is 1613374561. The reversal of 1613374560 is 654733161.

1613374560 is a `hidden beast` number, since 1 + 61 + 3 + 37 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (1613374561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228361 + ... + 235319.

It is an arithmetic number, because the mean of its divisors is an integer number (22800960).

Almost surely, 2^1613374560 is an apocalyptic number.

1613374560 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 1613374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283338240).

1613374560 is an abundant number, since it is smaller than the sum of its proper divisors (4953301920).

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

1613374560 is a wasteful number, since it uses less digits than its factorization.

1613374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1613374560 is about 40166.8340798724. The cubic root of 1613374560 is about 1172.8570108036.

The spelling of 1613374560 in words is "one billion, six hundred thirteen million, three hundred seventy-four thousand, five hundred sixty".