1667546540 has 48 divisors (see below), whose sum is σ = 3837141504. Its totient is φ = 603691200.

The previous prime is 1667546539. The next prime is 1667546557. The reversal of 1667546540 is 456457661.

It is a super-2 number, since 2×1667546540² = 5561422926131943200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1667546491 and 1667546500.

It is an unprimeable number.

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, 33245 + ... + 66635.

It is an arithmetic number, because the mean of its divisors is an integer number (79940448).

Almost surely, 2^1667546540 is an apocalyptic number.

1667546540 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 1667546540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918570752).

1667546540 is an abundant number, since it is smaller than the sum of its proper divisors (2169594964).

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

1667546540 is a wasteful number, since it uses less digits than its factorization.

1667546540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33638 (or 33636 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 1667546540 is about 40835.6038280322. The cubic root of 1667546540 is about 1185.8397058298.

The spelling of 1667546540 in words is "one billion, six hundred sixty-seven million, five hundred forty-six thousand, five hundred forty".