1667981952 has 288 divisors, whose sum is σ = 6015571380. Its totient is φ = 439713792.

The previous prime is 1667981929. The next prime is 1667981957. The reversal of 1667981952 is 2591897661.

It can be written as a sum of positive squares in 2 ways, for example, as 1666598976 + 1382976 = 40824^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1667981957) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 732688 + ... + 734960.

Almost surely, 2^1667981952 is an apocalyptic number.

1667981952 is a gapful number since it is divisible by the number (12) 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 1667981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007785690).

1667981952 is an abundant number, since it is smaller than the sum of its proper divisors (4347589428).

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

1667981952 is a wasteful number, since it uses less digits than its factorization.

1667981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2298 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1667981952 is about 40840.9347591360. The cubic root of 1667981952 is about 1185.9429081278.

The spelling of 1667981952 in words is "one billion, six hundred sixty-seven million, nine hundred eighty-one thousand, nine hundred fifty-two".