10636416 has 96 divisors (see below), whose sum is σ = 35006400. Its totient is φ = 3036672.

The previous prime is 10636399. The next prime is 10636421. The reversal of 10636416 is 61463601.

10636416 is a `hidden beast` number, since 10 + 6 + 3 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10636416² = 226266690650112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10636416.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7405 + ... + 8723.

It is an arithmetic number, because the mean of its divisors is an integer number (364650).

Almost surely, 2^10636416 is an apocalyptic number.

10636416 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 10636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503200).

10636416 is an abundant number, since it is smaller than the sum of its proper divisors (24369984).

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

10636416 is a wasteful number, since it uses less digits than its factorization.

10636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10636416 is about 3261.3518669411. The cubic root of 10636416 is about 219.9201914373.

The spelling of 10636416 in words is "ten million, six hundred thirty-six thousand, four hundred sixteen".