10874880 has 156 divisors (see below), whose sum is σ = 38333880. Its totient is φ = 2850816.

The previous prime is 10874879. The next prime is 10874887. The reversal of 10874880 is 8847801.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10874887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184291 + ... + 184349.

It is an arithmetic number, because the mean of its divisors is an integer number (245730).

Almost surely, 2^10874880 is an apocalyptic number.

10874880 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 10874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166940).

10874880 is an abundant number, since it is smaller than the sum of its proper divisors (27459000).

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

10874880 is an equidigital number, since it uses as much as digits as its factorization.

10874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 10874880 is about 3297.7082951650. The cubic root of 10874880 is about 221.5515661764.

The spelling of 10874880 in words is "ten million, eight hundred seventy-four thousand, eight hundred eighty".