1667684352 has 96 divisors (see below), whose sum is σ = 4509872640. Its totient is φ = 547921920.

The previous prime is 1667684341. The next prime is 1667684363. The reversal of 1667684352 is 2534867661.

It is an interprime number because it is at equal distance from previous prime (1667684341) and next prime (1667684363).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434313 + ... + 438135.

It is an arithmetic number, because the mean of its divisors is an integer number (46977840).

Almost surely, 2^1667684352 is an apocalyptic number.

1667684352 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 1667684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254936320).

1667684352 is an abundant number, since it is smaller than the sum of its proper divisors (2842188288).

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

1667684352 is an equidigital number, since it uses as much as digits as its factorization.

1667684352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3899 counting only the distinct ones).

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

The square root of 1667684352 is about 40837.2911932219. The cubic root of 1667684352 is about 1185.8723722724.

The spelling of 1667684352 in words is "one billion, six hundred sixty-seven million, six hundred eighty-four thousand, three hundred fifty-two".