1670312448 has 320 divisors, whose sum is σ = 5802128640. Its totient is φ = 464486400.

The previous prime is 1670312443. The next prime is 1670312453. The reversal of 1670312448 is 8442130761.

It is an interprime number because it is at equal distance from previous prime (1670312443) and next prime (1670312453).

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 (1670312443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3967278 + ... + 3967698.

It is an arithmetic number, because the mean of its divisors is an integer number (18131652).

Almost surely, 2^1670312448 is an apocalyptic number.

1670312448 is a gapful number since it is divisible by the number (18) 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 1670312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901064320).

1670312448 is an abundant number, since it is smaller than the sum of its proper divisors (4131816192).

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

1670312448 is an equidigital number, since it uses as much as digits as its factorization.

1670312448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1670312448 is about 40869.4561745076. The cubic root of 1670312448 is about 1186.4949822461.

The spelling of 1670312448 in words is "one billion, six hundred seventy million, three hundred twelve thousand, four hundred forty-eight".