10649440 has 48 divisors (see below), whose sum is σ = 25446960. Its totient is φ = 4211200.

The previous prime is 10649417. The next prime is 10649447. The reversal of 10649440 is 4494601.

10649440 = 376² + 377² + ... + 439².

10649440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10649440² = 226821144627200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10649399 and 10649408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10649447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15831 + ... + 16489.

It is an arithmetic number, because the mean of its divisors is an integer number (530145).

Almost surely, 2^10649440 is an apocalyptic number.

10649440 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 10649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723480).

10649440 is an abundant number, since it is smaller than the sum of its proper divisors (14797520).

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

10649440 is a wasteful number, since it uses less digits than its factorization.

10649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 10649440 is about 3263.3479740904. The cubic root of 10649440 is about 220.0099169083.

The spelling of 10649440 in words is "ten million, six hundred forty-nine thousand, four hundred forty".