1667253648 has 160 divisors (see below), whose sum is σ = 4893436800. Its totient is φ = 485941248.

The previous prime is 1667253613. The next prime is 1667253649. The reversal of 1667253648 is 8463527661.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1667253597 and 1667253606.

It is not an unprimeable number, because it can be changed into a prime (1667253649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820698 + ... + 822726.

It is an arithmetic number, because the mean of its divisors is an integer number (30583980).

Almost surely, 2^1667253648 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 1667253648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446718400).

1667253648 is an abundant number, since it is smaller than the sum of its proper divisors (3226183152).

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

1667253648 is a wasteful number, since it uses less digits than its factorization.

1667253648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2123 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 1667253648 is about 40832.0174373004. The cubic root of 1667253648 is about 1185.7702738246.

The spelling of 1667253648 in words is "one billion, six hundred sixty-seven million, two hundred fifty-three thousand, six hundred forty-eight".