10754208 has 84 divisors (see below), whose sum is σ = 31812858. Its totient is φ = 3576960.

The previous prime is 10754207. The next prime is 10754213. The reversal of 10754208 is 80245701.

It can be written as a sum of positive squares in only one way, i.e., 9809424 + 944784 = 3132^2 + 972^2 .

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

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (10754203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23098 + ... + 23558.

Almost surely, 2^10754208 is an apocalyptic number.

10754208 is a gapful number since it is divisible by the number (18) 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 10754208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906429).

10754208 is an abundant number, since it is smaller than the sum of its proper divisors (21058650).

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

10754208 is an frugal number, since it uses more digits than its factorization.

10754208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10754208 is about 3279.3609133488. The cubic root of 10754208 is about 220.7290414707.

Adding to 10754208 its reverse (80245701), we get a palindrome (90999909).

The spelling of 10754208 in words is "ten million, seven hundred fifty-four thousand, two hundred eight".