10837840 has 80 divisors (see below), whose sum is σ = 28779408. Its totient is φ = 3760128.

The previous prime is 10837837. The next prime is 10837859. The reversal of 10837840 is 4873801.

It is a happy number.

10837840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2334784 + 8503056 = 1528^2 + 2916^2 .

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

It is a zygodrome in base 4.

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, 17374 + ... + 17986.

Almost surely, 2^10837840 is an apocalyptic number.

10837840 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 10837840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14389704).

10837840 is an abundant number, since it is smaller than the sum of its proper divisors (17941568).

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

10837840 is a wasteful number, since it uses less digits than its factorization.

10837840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 10837840 is about 3292.0874836492. The cubic root of 10837840 is about 221.2997441004.

The spelling of 10837840 in words is "ten million, eight hundred thirty-seven thousand, eight hundred forty".