10480000 has 80 divisors (see below), whose sum is σ = 26288460. Its totient is φ = 4160000.

The previous prime is 10479967. The next prime is 10480009. The reversal of 10480000 is 8401.

10480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10480009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79935 + ... + 80065.

Almost surely, 2^10480000 is an apocalyptic number.

10480000 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 10480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144230).

10480000 is an abundant number, since it is smaller than the sum of its proper divisors (15808460).

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

10480000 is an frugal number, since it uses more digits than its factorization.

10480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10480000 is about 3237.2828112477. The cubic root of 10480000 is about 218.8368362727.

Adding to 10480000 its reverse (8401), we get a palindrome (10488401).

The spelling of 10480000 in words is "ten million, four hundred eighty thousand".