10065600 has 168 divisors, whose sum is σ = 36850320. Its totient is φ = 2672640.

The previous prime is 10065589. The next prime is 10065613. The reversal of 10065600 is 656001.

10065600 is a `hidden beast` number, since 1 + 0 + 0 + 65 + 600 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 43084 + ... + 43316.

Almost surely, 2^10065600 is an apocalyptic number.

10065600 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 10065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425160).

10065600 is an abundant number, since it is smaller than the sum of its proper divisors (26784720).

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

10065600 is a wasteful number, since it uses less digits than its factorization.

10065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10065600 is about 3172.6329759365. The cubic root of 10065600 is about 215.9135456480.

The spelling of 10065600 in words is "ten million, sixty-five thousand, six hundred".