1672033506 has 128 divisors (see below), whose sum is σ = 4060191744. Its totient is φ = 452325120.

The previous prime is 1672033501. The next prime is 1672033547. The reversal of 1672033506 is 6053302761.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1672033501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3774121 + ... + 3774563.

It is an arithmetic number, because the mean of its divisors is an integer number (31720248).

Almost surely, 2^1672033506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672033506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030095872).

1672033506 is an abundant number, since it is smaller than the sum of its proper divisors (2388158238).

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

1672033506 is a wasteful number, since it uses less digits than its factorization.

1672033506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 1672033506 is about 40890.5063064766. The cubic root of 1672033506 is about 1186.9023562736.

The spelling of 1672033506 in words is "one billion, six hundred seventy-two million, thirty-three thousand, five hundred six".