10634120 has 64 divisors (see below), whose sum is σ = 27630720. Its totient is φ = 3608064.

The previous prime is 10634087. The next prime is 10634123. The reversal of 10634120 is 2143601.

It is a Cunningham number, because it is equal to 3261²-1.

It is a super-2 number, since 2×10634120² = 226169016348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634123) 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, 45524 + ... + 45756.

It is an arithmetic number, because the mean of its divisors is an integer number (431730).

Almost surely, 2^10634120 is an apocalyptic number.

10634120 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 10634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815360).

10634120 is an abundant number, since it is smaller than the sum of its proper divisors (16996600).

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

10634120 is a wasteful number, since it uses less digits than its factorization.

10634120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10634120 is about 3260.9998466728. Note that the first 3 decimals coincide. The cubic root of 10634120 is about 219.9043661476.

Adding to 10634120 its reverse (2143601), we get a palindrome (12777721).

The spelling of 10634120 in words is "ten million, six hundred thirty-four thousand, one hundred twenty".