10309968 has 30 divisors (see below), whose sum is σ = 28853994. Its totient is φ = 3436608.

The previous prime is 10309927. The next prime is 10309969. The reversal of 10309968 is 86990301.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 121104 = 3192^2 + 348^2 .

It is a super-2 number, since 2×10309968² = 212590880322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10309969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35655 + ... + 35942.

Almost surely, 2^10309968 is an apocalyptic number.

10309968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10309968 is an abundant number, since it is smaller than the sum of its proper divisors (18544026).

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

10309968 is a wasteful number, since it uses less digits than its factorization.

10309968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71611 (or 71602 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10309968 is about 3210.9138885993. The cubic root of 10309968 is about 217.6468766151.

The spelling of 10309968 in words is "ten million, three hundred nine thousand, nine hundred sixty-eight".