1659087360 has 560 divisors, whose sum is σ = 6869846016. Its totient is φ = 376233984.

The previous prime is 1659087347. The next prime is 1659087373. The reversal of 1659087360 is 637809561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1659087347) and next prime (1659087373).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×1659087360² = 5505141736223539200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063617 + ... + 13063743.

Almost surely, 2^1659087360 is an apocalyptic number.

1659087360 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 1659087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434923008).

1659087360 is an abundant number, since it is smaller than the sum of its proper divisors (5210758656).

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

1659087360 is an frugal number, since it uses more digits than its factorization.

1659087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1659087360 is about 40731.8961012129. The cubic root of 1659087360 is about 1183.8311178651.

The spelling of 1659087360 in words is "one billion, six hundred fifty-nine million, eighty-seven thousand, three hundred sixty".