1667955648 has 112 divisors (see below), whose sum is σ = 4582241280. Its totient is φ = 534825984.

The previous prime is 1667955637. The next prime is 1667955649. The reversal of 1667955648 is 8465597661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1667955649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2577661 + ... + 2578307.

Almost surely, 2^1667955648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1667955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291120640).

1667955648 is an abundant number, since it is smaller than the sum of its proper divisors (2914285632).

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

1667955648 is a wasteful number, since it uses less digits than its factorization.

1667955648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The square root of 1667955648 is about 40840.6127280187. The cubic root of 1667955648 is about 1185.9366740064.

It can be divided in two parts, 16679 and 55648, that added together give a palindrome (72327).

The spelling of 1667955648 in words is "one billion, six hundred sixty-seven million, nine hundred fifty-five thousand, six hundred forty-eight".