10309416 has 64 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 3137280.

The previous prime is 10309399. The next prime is 10309417. The reversal of 10309416 is 61490301.

10309416 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 super-2 number, since 2×10309416² = 212568116522112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10309417) 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, 53881 + ... + 54071.

It is an arithmetic number, because the mean of its divisors is an integer number (438480).

Almost surely, 2^10309416 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 10309416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031360).

10309416 is an abundant number, since it is smaller than the sum of its proper divisors (17753304).

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

10309416 is a wasteful number, since it uses less digits than its factorization.

10309416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10309416 is about 3210.8279306123. The cubic root of 10309416 is about 217.6429922442.

Adding to 10309416 its reverse (61490301), we get a palindrome (71799717).

The spelling of 10309416 in words is "ten million, three hundred nine thousand, four hundred sixteen".