10802640 has 160 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 2585088.

The previous prime is 10802629. The next prime is 10802641. The reversal of 10802640 is 4620801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10802641) 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 31 ways as a sum of consecutive naturals, for example, 104829 + ... + 104931.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^10802640 is an apocalyptic number.

10802640 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 10802640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

10802640 is an abundant number, since it is smaller than the sum of its proper divisors (26337840).

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

10802640 is a wasteful number, since it uses less digits than its factorization.

10802640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10802640 is about 3286.7369836967. The cubic root of 10802640 is about 221.0598992717.

The spelling of 10802640 in words is "ten million, eight hundred two thousand, six hundred forty".