10892880 has 150 divisors (see below), whose sum is σ = 38777838. Its totient is φ = 2833920.

The previous prime is 10892863. The next prime is 10892887. The reversal of 10892880 is 8829801.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 10265616 = 792^2 + 3204^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10892887) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 265660 + ... + 265700.

Almost surely, 2^10892880 is an apocalyptic number.

10892880 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 10892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388919).

10892880 is an abundant number, since it is smaller than the sum of its proper divisors (27884958).

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

10892880 is an equidigital number, since it uses as much as digits as its factorization.

10892880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 10892880 is about 3300.4363347897. The cubic root of 10892880 is about 221.6737354923.

It can be divided in two parts, 1089 and 2880, that added together give a square (3969 = 63²).

The spelling of 10892880 in words is "ten million, eight hundred ninety-two thousand, eight hundred eighty".