10538208 has 48 divisors (see below), whose sum is σ = 30738960. Its totient is φ = 3512448.

The previous prime is 10538183. The next prime is 10538219. The reversal of 10538208 is 80283501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10538208² = 222107655702528, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5235 + ... + 6962.

It is an arithmetic number, because the mean of its divisors is an integer number (640395).

Almost surely, 2^10538208 is an apocalyptic number.

10538208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10538208 is an abundant number, since it is smaller than the sum of its proper divisors (20200752).

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

10538208 is a wasteful number, since it uses less digits than its factorization.

10538208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10538208 is about 3246.2606180034. The cubic root of 10538208 is about 219.2412428834.

It can be divided in two parts, 1053 and 8208, that added together give a cube (9261 = 21³).

The spelling of 10538208 in words is "ten million, five hundred thirty-eight thousand, two hundred eight".