10634016 has 24 divisors (see below), whose sum is σ = 27914544. Its totient is φ = 3544640.

The previous prime is 10634011. The next prime is 10634087. The reversal of 10634016 is 61043601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10634016² = 226164592576512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10633983 and 10634001.

It is not an unprimeable number, because it can be changed into a prime (10634011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55290 + ... + 55481.

It is an arithmetic number, because the mean of its divisors is an integer number (1163106).

Almost surely, 2^10634016 is an apocalyptic number.

10634016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10634016 is an abundant number, since it is smaller than the sum of its proper divisors (17280528).

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

10634016 is a wasteful number, since it uses less digits than its factorization.

10634016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110784 (or 110776 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10634016 is about 3260.9839006042. The cubic root of 10634016 is about 219.9036492687.

Adding to 10634016 its reverse (61043601), we get a palindrome (71677617).

The spelling of 10634016 in words is "ten million, six hundred thirty-four thousand, sixteen".