10417680 has 320 divisors, whose sum is σ = 44997120. Its totient is φ = 2156544.

The previous prime is 10417679. The next prime is 10417697. The reversal of 10417680 is 8671401.

It is a happy number.

10417680 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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196534 + ... + 196586.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^10417680 is an apocalyptic number.

10417680 is a gapful number since it is divisible by the number (10) 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 10417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

10417680 is an abundant number, since it is smaller than the sum of its proper divisors (34579440).

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

10417680 is a wasteful number, since it uses less digits than its factorization.

10417680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10417680 is about 3227.6431029468. The cubic root of 10417680 is about 218.4021977801.

The spelling of 10417680 in words is "ten million, four hundred seventeen thousand, six hundred eighty".