1659008416 has 48 divisors (see below), whose sum is σ = 3557017800. Its totient is φ = 757075968.

The previous prime is 1659008411. The next prime is 1659008459. The reversal of 1659008416 is 6148009561.

It can be written as a sum of positive squares in 4 ways, for example, as 1053651600 + 605356816 = 32460^2 + 24604^2 .

It is not an unprimeable number, because it can be changed into a prime (1659008411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14620 + ... + 59428.

Almost surely, 2^1659008416 is an apocalyptic number.

1659008416 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 1659008416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778508900).

1659008416 is an abundant number, since it is smaller than the sum of its proper divisors (1898009384).

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

1659008416 is a wasteful number, since it uses less digits than its factorization.

1659008416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44921 (or 44913 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 1659008416 is about 40730.9270211224. The cubic root of 1659008416 is about 1183.8123409061.

The spelling of 1659008416 in words is "one billion, six hundred fifty-nine million, eight thousand, four hundred sixteen".