1667216352 has 96 divisors (see below), whose sum is σ = 4480842240. Its totient is φ = 542643200.

The previous prime is 1667216347. The next prime is 1667216357. The reversal of 1667216352 is 2536127661.

It is an interprime number because it is at equal distance from previous prime (1667216347) and next prime (1667216357).

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

It is a super-2 number, since 2×1667216352² = 5559220728752375808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1667216352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1667216357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707977 + ... + 710327.

It is an arithmetic number, because the mean of its divisors is an integer number (46675440).

Almost surely, 2^1667216352 is an apocalyptic number.

1667216352 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 1667216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240421120).

1667216352 is an abundant number, since it is smaller than the sum of its proper divisors (2813625888).

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

1667216352 is a wasteful number, since it uses less digits than its factorization.

1667216352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2528 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 1667216352 is about 40831.5607343143. The cubic root of 1667216352 is about 1185.7614319750.

The spelling of 1667216352 in words is "one billion, six hundred sixty-seven million, two hundred sixteen thousand, three hundred fifty-two".