10362880 has 112 divisors (see below), whose sum is σ = 28309824. Its totient is φ = 3604480.

The previous prime is 10362841. The next prime is 10362881. The reversal of 10362880 is 8826301.

It is a super-3 number, since 3×10362880³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10362881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450549 + ... + 450571.

Almost surely, 2^10362880 is an apocalyptic number.

10362880 is a gapful number since it is divisible by the number (10) 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 10362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154912).

10362880 is an abundant number, since it is smaller than the sum of its proper divisors (17946944).

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

10362880 is an equidigital number, since it uses as much as digits as its factorization.

10362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10362880 is about 3219.1427430296. The cubic root of 10362880 is about 218.0185714897.

It can be divided in two parts, 1036 and 2880, that added together give a triangular number (3916 = T₈₈).

The spelling of 10362880 in words is "ten million, three hundred sixty-two thousand, eight hundred eighty".