10934784 has 160 divisors (see below), whose sum is σ = 37319040. Its totient is φ = 3096576.

The previous prime is 10934783. The next prime is 10934797. The reversal of 10934784 is 48743901.

It is a happy number.

It is a super-2 number, since 2×10934784² = 239139002253312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10934783) 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, 96712 + ... + 96824.

It is an arithmetic number, because the mean of its divisors is an integer number (233244).

Almost surely, 2^10934784 is an apocalyptic number.

10934784 is a gapful number since it is divisible by the number (14) 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 10934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659520).

10934784 is an abundant number, since it is smaller than the sum of its proper divisors (26384256).

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

10934784 is an equidigital number, since it uses as much as digits as its factorization.

10934784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10934784 is about 3306.7784927328. The cubic root of 10934784 is about 221.9576252211.

The spelling of 10934784 in words is "ten million, nine hundred thirty-four thousand, seven hundred eighty-four".