1618306560 has 320 divisors, whose sum is σ = 6193978560. Its totient is φ = 398131200.

The previous prime is 1618306499. The next prime is 1618306567. The reversal of 1618306560 is 656038161.

It is a happy number.

1618306560 is a `hidden beast` number, since 1 + 61 + 8 + 30 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1618306560² = 5237832244278067200, which contains 22 as substring.

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 (1618306567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 897660 + ... + 899460.

It is an arithmetic number, because the mean of its divisors is an integer number (19356183).

Almost surely, 2^1618306560 is an apocalyptic number.

1618306560 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 1618306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096989280).

1618306560 is an abundant number, since it is smaller than the sum of its proper divisors (4575672000).

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

1618306560 is a wasteful number, since it uses less digits than its factorization.

1618306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1618306560 is about 40228.1811669382. The cubic root of 1618306560 is about 1174.0509155083.

The spelling of 1618306560 in words is "one billion, six hundred eighteen million, three hundred six thousand, five hundred sixty".