10516608 has 128 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 3280896.

The previous prime is 10516607. The next prime is 10516619. The reversal of 10516608 is 80661501.

10516608 is a `hidden beast` number, since 1 + 0 + 51 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10516608² = 221198087651328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10516603) 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 15 ways as a sum of consecutive naturals, for example, 58663 + ... + 58841.

Almost surely, 2^10516608 is an apocalyptic number.

10516608 is a gapful number since it is divisible by the number (18) 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 10516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

10516608 is an abundant number, since it is smaller than the sum of its proper divisors (22531392).

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

10516608 is a wasteful number, since it uses less digits than its factorization.

10516608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10516608 is about 3242.9320066878. The cubic root of 10516608 is about 219.0913486434.

The spelling of 10516608 in words is "ten million, five hundred sixteen thousand, six hundred eight".