10553840 has 80 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 3759360.

The previous prime is 10553839. The next prime is 10553863. The reversal of 10553840 is 4835501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10553840² = 222767077491200, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

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, 58871 + ... + 59049.

It is an arithmetic number, because the mean of its divisors is an integer number (341496).

Almost surely, 2^10553840 is an apocalyptic number.

10553840 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 10553840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

10553840 is an abundant number, since it is smaller than the sum of its proper divisors (16765840).

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

10553840 is a wasteful number, since it uses less digits than its factorization.

10553840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 10553840 is about 3248.6674191120. The cubic root of 10553840 is about 219.3495941932.

The spelling of 10553840 in words is "ten million, five hundred fifty-three thousand, eight hundred forty".