10685948 has 48 divisors (see below), whose sum is σ = 23783424. Its totient is φ = 4086720.

The previous prime is 10685921. The next prime is 10685957. The reversal of 10685948 is 84958601.

It is a super-2 number, since 2×10685948² = 228378969317408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10811 + ... + 11757.

It is an arithmetic number, because the mean of its divisors is an integer number (495488).

Almost surely, 2^10685948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10685948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891712).

10685948 is an abundant number, since it is smaller than the sum of its proper divisors (13097476).

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

10685948 is a wasteful number, since it uses less digits than its factorization.

10685948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 10685948 is about 3268.9368302248. The cubic root of 10685948 is about 220.2610400039.

The spelling of 10685948 in words is "ten million, six hundred eighty-five thousand, nine hundred forty-eight".