10208964 has 48 divisors (see below), whose sum is σ = 25417728. Its totient is φ = 3181728.

The previous prime is 10208963. The next prime is 10208969. The reversal of 10208964 is 46980201.

10208964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10208963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12579 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (529536).

Almost surely, 2^10208964 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 10208964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12708864).

10208964 is an abundant number, since it is smaller than the sum of its proper divisors (15208764).

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

10208964 is a wasteful number, since it uses less digits than its factorization.

10208964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10208964 is about 3195.1469449776. The cubic root of 10208964 is about 216.9338001609.

The spelling of 10208964 in words is "ten million, two hundred eight thousand, nine hundred sixty-four".