1613666560 has 144 divisors (see below), whose sum is σ = 4353818112. Its totient is φ = 567705600.

The previous prime is 1613666491. The next prime is 1613666569. The reversal of 1613666560 is 656663161.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1613666569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434632 + ... + 438328.

It is an arithmetic number, because the mean of its divisors is an integer number (30234848).

Almost surely, 2^1613666560 is an apocalyptic number.

1613666560 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 1613666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176909056).

1613666560 is an abundant number, since it is smaller than the sum of its proper divisors (2740151552).

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

1613666560 is a wasteful number, since it uses less digits than its factorization.

1613666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 1613666560 is about 40170.4687550444. The cubic root of 1613666560 is about 1172.9277638691.

The spelling of 1613666560 in words is "one billion, six hundred thirteen million, six hundred sixty-six thousand, five hundred sixty".