10417668 has 48 divisors (see below), whose sum is σ = 25966080. Its totient is φ = 3239424.

The previous prime is 10417661. The next prime is 10417679. The reversal of 10417668 is 86671401.

It is a happy number.

10417668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10417661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45378 + ... + 45606.

It is an arithmetic number, because the mean of its divisors is an integer number (540960).

Almost surely, 2^10417668 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 10417668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983040).

10417668 is an abundant number, since it is smaller than the sum of its proper divisors (15548412).

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

10417668 is a wasteful number, since it uses less digits than its factorization.

10417668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10417668 is about 3227.6412440047. The cubic root of 10417668 is about 218.4021139218.

The spelling of 10417668 in words is "ten million, four hundred seventeen thousand, six hundred sixty-eight".