10608480 has 144 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 2755584.

The previous prime is 10608473. The next prime is 10608503. The reversal of 10608480 is 8480601.

10608480 is a `hidden beast` number, since 10 + 608 + 48 + 0 = 666.

10608480 is digitally balanced in base 2 and base 4, because in such bases 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 (144).

It is a super-2 number, since 2×10608480² = 225079695820800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76251 + ... + 76389.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^10608480 is an apocalyptic number.

10608480 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 10608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

10608480 is an abundant number, since it is smaller than the sum of its proper divisors (26541360).

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

10608480 is a wasteful number, since it uses less digits than its factorization.

10608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10608480 is about 3257.0661645106. The cubic root of 10608480 is about 219.7274862684.

The spelling of 10608480 in words is "ten million, six hundred eight thousand, four hundred eighty".