10229760 has 192 divisors, whose sum is σ = 37346400. Its totient is φ = 2654208.

The previous prime is 10229731. The next prime is 10229773. The reversal of 10229760 is 6792201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276462 + ... + 276498.

Almost surely, 2^10229760 is an apocalyptic number.

10229760 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 10229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200).

10229760 is an abundant number, since it is smaller than the sum of its proper divisors (27116640).

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

10229760 is an equidigital number, since it uses as much as digits as its factorization.

10229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10229760 is about 3198.3995997999. The cubic root of 10229760 is about 217.0810007162.

The spelling of 10229760 in words is "ten million, two hundred twenty-nine thousand, seven hundred sixty".