1670409216 has 396 divisors, whose sum is σ = 5861019528. Its totient is φ = 473776128.

The previous prime is 1670409211. The next prime is 1670409229. The reversal of 1670409216 is 6129040761.

It is a super-4 number, since 4×1670409216⁴ (a number of 38 digits) contains 4444 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 (1670409211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12192700 + ... + 12192836.

Almost surely, 2^1670409216 is an apocalyptic number.

1670409216 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 1670409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930509764).

1670409216 is an abundant number, since it is smaller than the sum of its proper divisors (4190610312).

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

1670409216 is an equidigital number, since it uses as much as digits as its factorization.

1670409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1670409216 is about 40870.6400243500. The cubic root of 1670409216 is about 1186.5178946318.

Adding to 1670409216 its reverse (6129040761), we get a palindrome (7799449977).

The spelling of 1670409216 in words is "one billion, six hundred seventy million, four hundred nine thousand, two hundred sixteen".