10368648 has 40 divisors (see below), whose sum is σ = 29043630. Its totient is φ = 3456000.

The previous prime is 10368647. The next prime is 10368649. The reversal of 10368648 is 84686301.

It is a happy number.

10368648 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 8 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (10368647) and next prime (10368649).

It can be written as a sum of positive squares in only one way, i.e., 7193124 + 3175524 = 2682^2 + 1782^2 .

It is a super-2 number, since 2×10368648² = 215017722695808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10368641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7353 + ... + 8648.

Almost surely, 2^10368648 is an apocalyptic number.

10368648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10368648 is an abundant number, since it is smaller than the sum of its proper divisors (18674982).

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

10368648 is a wasteful number, since it uses less digits than its factorization.

10368648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16019 (or 16006 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10368648 is about 3220.0385090865. The cubic root of 10368648 is about 218.0590138467.

It can be divided in two parts, 10368 and 648, that multiplied together give a square (6718464 = 2592²).

The spelling of 10368648 in words is "ten million, three hundred sixty-eight thousand, six hundred forty-eight".