10938496 has 32 divisors (see below), whose sum is σ = 22041180. Its totient is φ = 5406720.

The previous prime is 10938457. The next prime is 10938517. The reversal of 10938496 is 69483901.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 440896 = 3240^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11976 + ... + 12856.

Almost surely, 2^10938496 is an apocalyptic number.

10938496 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 10938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11020590).

10938496 is an abundant number, since it is smaller than the sum of its proper divisors (11102684).

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

10938496 is an frugal number, since it uses more digits than its factorization.

10938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 10938496 is about 3307.3397164489. The cubic root of 10938496 is about 221.9827381541.

The spelling of 10938496 in words is "ten million, nine hundred thirty-eight thousand, four hundred ninety-six".