10066408 has 32 divisors (see below), whose sum is σ = 20885760. Its totient is φ = 4510080.

The previous prime is 10066373. The next prime is 10066411. The reversal of 10066408 is 80466001.

10066408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5641 + ... + 7207.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 2^10066408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442880).

10066408 is an abundant number, since it is smaller than the sum of its proper divisors (10819352).

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

10066408 is a wasteful number, since it uses less digits than its factorization.

10066408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10066408 is about 3172.7603124094. The cubic root of 10066408 is about 215.9193228654.

The spelling of 10066408 in words is "ten million, sixty-six thousand, four hundred eight".