10649760 has 96 divisors (see below), whose sum is σ = 36614592. Its totient is φ = 2580480.

The previous prime is 10649741. The next prime is 10649773. The reversal of 10649760 is 6794601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10649760² = 226834776115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4272 + ... + 6288.

It is an arithmetic number, because the mean of its divisors is an integer number (381402).

Almost surely, 2^10649760 is an apocalyptic number.

10649760 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 10649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18307296).

10649760 is an abundant number, since it is smaller than the sum of its proper divisors (25964832).

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

10649760 is a wasteful number, since it uses less digits than its factorization.

10649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 10649760 is about 3263.3970031242. The cubic root of 10649760 is about 220.0121205443.

The spelling of 10649760 in words is "ten million, six hundred forty-nine thousand, seven hundred sixty".