10649268 has 54 divisors (see below), whose sum is σ = 31319106. Its totient is φ = 3042144.

The previous prime is 10649231. The next prime is 10649269. The reversal of 10649268 is 86294601.

10649268 is a `hidden beast` number, since 1 + 0 + 649 + 2 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7683984 + 2965284 = 2772^2 + 1722^2 .

It is a super-2 number, since 2×10649268² = 226813817871648, 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 (10649269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1255 + ... + 4782.

Almost surely, 2^10649268 is an apocalyptic number.

10649268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10649268 is an abundant number, since it is smaller than the sum of its proper divisors (20669838).

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

10649268 is a wasteful number, since it uses less digits than its factorization.

10649268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10649268 is about 3263.3216206804. The cubic root of 10649268 is about 220.0087324357.

The spelling of 10649268 in words is "ten million, six hundred forty-nine thousand, two hundred sixty-eight".