1667228160 has 160 divisors (see below), whose sum is σ = 5740257600. Its totient is φ = 410370048.

The previous prime is 1667228159. The next prime is 1667228191. The reversal of 1667228160 is 618227661.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91491 + ... + 108189.

It is an arithmetic number, because the mean of its divisors is an integer number (35876610).

Almost surely, 2^1667228160 is an apocalyptic number.

1667228160 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 1667228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870128800).

1667228160 is an abundant number, since it is smaller than the sum of its proper divisors (4073029440).

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

1667228160 is a wasteful number, since it uses less digits than its factorization.

1667228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16738 (or 16722 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1667228160 is about 40831.7053280903. The cubic root of 1667228160 is about 1185.7642313394.

The spelling of 1667228160 in words is "one billion, six hundred sixty-seven million, two hundred twenty-eight thousand, one hundred sixty".