10880352 has 144 divisors (see below), whose sum is σ = 37059120. Its totient is φ = 3096576.

The previous prime is 10880351. The next prime is 10880371. The reversal of 10880352 is 25308801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10880351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42208 + ... + 42464.

It is an arithmetic number, because the mean of its divisors is an integer number (257355).

Almost surely, 2^10880352 is an apocalyptic number.

10880352 is a gapful number since it is divisible by the number (12) 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 10880352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18529560).

10880352 is an abundant number, since it is smaller than the sum of its proper divisors (26178768).

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

10880352 is a wasteful number, since it uses less digits than its factorization.

10880352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

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

The square root of 10880352 is about 3298.5378579001. The cubic root of 10880352 is about 221.5887199009.

The spelling of 10880352 in words is "ten million, eight hundred eighty thousand, three hundred fifty-two".