1659033216 has 96 divisors (see below), whose sum is σ = 4831837920. Its totient is φ = 546316800.

The previous prime is 1659033161. The next prime is 1659033221. The reversal of 1659033216 is 6123309561.

1659033216 is a `hidden beast` number, since 16 + 590 + 33 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86941 + ... + 104291.

It is an arithmetic number, because the mean of its divisors is an integer number (50331645).

Almost surely, 2^1659033216 is an apocalyptic number.

1659033216 is a gapful number since it is divisible by the number (16) 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 1659033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415918960).

1659033216 is an abundant number, since it is smaller than the sum of its proper divisors (3172804704).

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

1659033216 is a wasteful number, since it uses less digits than its factorization.

1659033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17454 (or 17439 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1659033216 is about 40731.2314569545. The cubic root of 1659033216 is about 1183.8182396906.

The spelling of 1659033216 in words is "one billion, six hundred fifty-nine million, thirty-three thousand, two hundred sixteen".