1672029216 has 360 divisors, whose sum is σ = 5825557584. Its totient is φ = 466352640.

The previous prime is 1672029211. The next prime is 1672029251. The reversal of 1672029216 is 6129202761.

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 (1672029211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4818355 + ... + 4818701.

Almost surely, 2^1672029216 is an apocalyptic number.

1672029216 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 1672029216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912778792).

1672029216 is an abundant number, since it is smaller than the sum of its proper divisors (4153528368).

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

1672029216 is a wasteful number, since it uses less digits than its factorization.

1672029216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 376 counting only the distinct ones).

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

The square root of 1672029216 is about 40890.4538492788. The cubic root of 1672029216 is about 1186.9013411792.

The spelling of 1672029216 in words is "one billion, six hundred seventy-two million, twenty-nine thousand, two hundred sixteen".