1671820416 has 192 divisors, whose sum is σ = 5611632000. Its totient is φ = 477550080.

The previous prime is 1671820399. The next prime is 1671820417. The reversal of 1671820416 is 6140281761.

It is a happy number.

1671820416 is a `hidden beast` number, since 1 + 67 + 182 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1671820416³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1671820417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393021 + ... + 397251.

It is an arithmetic number, because the mean of its divisors is an integer number (29227250).

Almost surely, 2^1671820416 is an apocalyptic number.

1671820416 is a gapful number since it is divisible by the number (16) 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 1671820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805816000).

1671820416 is an abundant number, since it is smaller than the sum of its proper divisors (3939811584).

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

1671820416 is an equidigital number, since it uses as much as digits as its factorization.

1671820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1671820416 is about 40887.9006064141. The cubic root of 1671820416 is about 1186.8519330878.

The spelling of 1671820416 in words is "one billion, six hundred seventy-one million, eight hundred twenty thousand, four hundred sixteen".