10834516 has 48 divisors (see below), whose sum is σ = 24474240. Its totient is φ = 4072320.

The previous prime is 10834511. The next prime is 10834519. The reversal of 10834516 is 61543801.

10834516 = 309² + 310² + ... + 395².

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8326 + ... + 9538.

It is an arithmetic number, because the mean of its divisors is an integer number (509880).

Almost surely, 2^10834516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10834516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12237120).

10834516 is an abundant number, since it is smaller than the sum of its proper divisors (13639724).

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

10834516 is a wasteful number, since it uses less digits than its factorization.

10834516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 10834516 is about 3291.5825980826. The cubic root of 10834516 is about 221.2771173419.

The spelling of 10834516 in words is "ten million, eight hundred thirty-four thousand, five hundred sixteen".