1659165120 has 336 divisors, whose sum is σ = 6235232640. Its totient is φ = 418784256.

The previous prime is 1659165113. The next prime is 1659165121. The reversal of 1659165120 is 215619561.

1659165120 is a `hidden beast` number, since 1 + 6 + 591 + 65 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×1659165120² = 5505657790849228800, 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 (1659165121) 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, 1476879 + ... + 1478001.

It is an arithmetic number, because the mean of its divisors is an integer number (18557240).

Almost surely, 2^1659165120 is an apocalyptic number.

1659165120 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 1659165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117616320).

1659165120 is an abundant number, since it is smaller than the sum of its proper divisors (4576067520).

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

1659165120 is a wasteful number, since it uses less digits than its factorization.

1659165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1659165120 is about 40732.8506245266. The cubic root of 1659165120 is about 1183.8496126255.

The spelling of 1659165120 in words is "one billion, six hundred fifty-nine million, one hundred sixty-five thousand, one hundred twenty".