10608000 has 256 divisors, whose sum is σ = 40098240. Its totient is φ = 2457600.

The previous prime is 10607977. The next prime is 10608001. The reversal of 10608000 is 80601.

It is a super-2 number, since 2×10608000² = 225059328000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10608001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623992 + ... + 624008.

Almost surely, 2^10608000 is an apocalyptic number.

10608000 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 10608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

10608000 is an abundant number, since it is smaller than the sum of its proper divisors (29490240).

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

10608000 is a wasteful number, since it uses less digits than its factorization.

10608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10608000 is about 3256.9924777316. The cubic root of 10608000 is about 219.7241722283.

Adding to 10608000 its reverse (80601), we get a palindrome (10688601).

The spelling of 10608000 in words is "ten million, six hundred eight thousand".