10634976 has 120 divisors (see below), whose sum is σ = 34212024. Its totient is φ = 3214080.

The previous prime is 10634971. The next prime is 10635011. The reversal of 10634976 is 67943601.

10634976 is a `hidden beast` number, since 10 + 634 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×10634976² = 226205429041152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10634976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28326 + ... + 28698.

Almost surely, 2^10634976 is an apocalyptic number.

10634976 is a gapful number since it is divisible by the number (16) 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 10634976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106012).

10634976 is an abundant number, since it is smaller than the sum of its proper divisors (23577048).

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

10634976 is a wasteful number, since it uses less digits than its factorization.

10634976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 10634976 is about 3261.1310921213. The cubic root of 10634976 is about 219.9102664348.

The spelling of 10634976 in words is "ten million, six hundred thirty-four thousand, nine hundred seventy-six".