1672017984 has 560 divisors, whose sum is σ = 6374627840. Its totient is φ = 426746880.

The previous prime is 1672017973. The next prime is 1672017989. The reversal of 1672017984 is 4897102761.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1672017989) 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 79 ways as a sum of consecutive naturals, for example, 53936049 + ... + 53936079.

It is an arithmetic number, because the mean of its divisors is an integer number (11383264).

Almost surely, 2^1672017984 is an apocalyptic number.

1672017984 is a gapful number since it is divisible by the number (14) 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 1672017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187313920).

1672017984 is an abundant number, since it is smaller than the sum of its proper divisors (4702609856).

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

1672017984 is an equidigital number, since it uses as much as digits as its factorization.

1672017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1672017984 is about 40890.3165064786. The cubic root of 1672017984 is about 1186.8986834693.

The spelling of 1672017984 in words is "one billion, six hundred seventy-two million, seventeen thousand, nine hundred eighty-four".