1667792560 has 160 divisors (see below), whose sum is σ = 4774551552. Its totient is φ = 529182720.

The previous prime is 1667792519. The next prime is 1667792569. The reversal of 1667792560 is 652977661.

It is not an unprimeable number, because it can be changed into a prime (1667792569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397192 + ... + 401368.

Almost surely, 2^1667792560 is an apocalyptic number.

1667792560 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 1667792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387275776).

1667792560 is an abundant number, since it is smaller than the sum of its proper divisors (3106758992).

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

1667792560 is a wasteful number, since it uses less digits than its factorization.

1667792560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The square root of 1667792560 is about 40838.6160392342. The cubic root of 1667792560 is about 1185.8980202319.

The spelling of 1667792560 in words is "one billion, six hundred sixty-seven million, seven hundred ninety-two thousand, five hundred sixty".