10812480 has 112 divisors (see below), whose sum is σ = 39258240. Its totient is φ = 2469888.

The previous prime is 10812449. The next prime is 10812481. The reversal of 10812480 is 8421801.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10812480.

It is not an unprimeable number, because it can be changed into a prime (10812481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5916 + ... + 7524.

It is an arithmetic number, because the mean of its divisors is an integer number (350520).

Almost surely, 2^10812480 is an apocalyptic number.

10812480 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 10812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629120).

10812480 is an abundant number, since it is smaller than the sum of its proper divisors (28445760).

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

10812480 is a wasteful number, since it uses less digits than its factorization.

10812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10812480 is about 3288.2335683464. The cubic root of 10812480 is about 221.1269992053.

The spelling of 10812480 in words is "ten million, eight hundred twelve thousand, four hundred eighty".