10200960 has 384 divisors, whose sum is σ = 45826560. Its totient is φ = 2027520.

The previous prime is 10200959. The next prime is 10200991. The reversal of 10200960 is 6900201.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443509 + ... + 443531.

It is an arithmetic number, because the mean of its divisors is an integer number (119340).

Almost surely, 2^10200960 is an apocalyptic number.

10200960 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 10200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

10200960 is an abundant number, since it is smaller than the sum of its proper divisors (35625600).

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

10200960 is a wasteful number, since it uses less digits than its factorization.

10200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10200960 is about 3193.8941748280. The cubic root of 10200960 is about 216.8770920853.

The spelling of 10200960 in words is "ten million, two hundred thousand, nine hundred sixty".