10506678 has 48 divisors (see below), whose sum is σ = 26334000. Its totient is φ = 2769984.

The previous prime is 10506673. The next prime is 10506689. The reversal of 10506678 is 87660501.

It is a super-2 number, since 2×10506678² = 220780565191368, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2448 + ... + 5196.

It is an arithmetic number, because the mean of its divisors is an integer number (548625).

Almost surely, 2^10506678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167000).

10506678 is an abundant number, since it is smaller than the sum of its proper divisors (15827322).

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

10506678 is a wasteful number, since it uses less digits than its factorization.

10506678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 10506678 is about 3241.4006231875. The cubic root of 10506678 is about 219.0223700591.

The spelling of 10506678 in words is "ten million, five hundred six thousand, six hundred seventy-eight".