67920006 has 64 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 17472000.

The previous prime is 67919953. The next prime is 67920007. The reversal of 67920006 is 60002976.

It is a super-2 number, since 2×67920006² = 9226254430080072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67920007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51556 + ... + 52856.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^67920006 is an apocalyptic number.

67920006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67920006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

67920006 is an abundant number, since it is smaller than the sum of its proper divisors (103069050).

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

67920006 is a wasteful number, since it uses less digits than its factorization.

67920006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 67920006 is about 8241.3594752322. The cubic root of 67920006 is about 408.0053944885.

The spelling of 67920006 in words is "sixty-seven million, nine hundred twenty thousand, six".