1665106560 has 384 divisors, whose sum is σ = 6370050960. Its totient is φ = 398131200.

The previous prime is 1665106529. The next prime is 1665106589. The reversal of 1665106560 is 656015661.

It can be written as a sum of positive squares in 8 ways, for example, as 1076364864 + 588741696 = 32808^2 + 24264^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2770260 + ... + 2770860.

Almost surely, 2^1665106560 is an apocalyptic number.

1665106560 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 1665106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185025480).

1665106560 is an abundant number, since it is smaller than the sum of its proper divisors (4704944400).

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

1665106560 is a wasteful number, since it uses less digits than its factorization.

1665106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1665106560 is about 40805.7172464840. The cubic root of 1665106560 is about 1185.2610438096.

It can be divided in two parts, 1665 and 106560, that multiplied together give a square (177422400 = 13320²).

The spelling of 1665106560 in words is "one billion, six hundred sixty-five million, one hundred six thousand, five hundred sixty".