1672162668 has 72 divisors (see below), whose sum is σ = 4617312336. Its totient is φ = 506035200.

The previous prime is 1672162631. The next prime is 1672162669. The reversal of 1672162668 is 8662612761.

1672162668 is a `hidden beast` number, since 16 + 7 + 2 + 1 + 626 + 6 + 8 = 666.

It is a super-2 number, since 2×1672162668² = 5592255976505756448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1672162669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346480 + ... + 351272.

It is an arithmetic number, because the mean of its divisors is an integer number (64129338).

Almost surely, 2^1672162668 is an apocalyptic number.

1672162668 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 1672162668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308656168).

1672162668 is an abundant number, since it is smaller than the sum of its proper divisors (2945149668).

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

1672162668 is a wasteful number, since it uses less digits than its factorization.

1672162668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5690 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1672162668 is about 40892.0856401333. The cubic root of 1672162668 is about 1186.9329176099.

The spelling of 1672162668 in words is "one billion, six hundred seventy-two million, one hundred sixty-two thousand, six hundred sixty-eight".