1606286880 has 288 divisors, whose sum is σ = 6241173120. Its totient is φ = 372387840.

The previous prime is 1606286879. The next prime is 1606286881. The reversal of 1606286880 is 886826061.

1606286880 is a `hidden beast` number, since 16 + 0 + 628 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1606286879) and next prime (1606286881).

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1606286881) 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, 362116 + ... + 366524.

It is an arithmetic number, because the mean of its divisors is an integer number (21670740).

Almost surely, 2^1606286880 is an apocalyptic number.

1606286880 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 1606286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120586560).

1606286880 is an abundant number, since it is smaller than the sum of its proper divisors (4634886240).

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

1606286880 is a wasteful number, since it uses less digits than its factorization.

1606286880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1606286880 is about 40078.5089543012. The cubic root of 1606286880 is about 1171.1370055924.

The spelling of 1606286880 in words is "one billion, six hundred six million, two hundred eighty-six thousand, eight hundred eighty".