10227600 has 120 divisors (see below), whose sum is σ = 36441120. Its totient is φ = 2724480.

The previous prime is 10227599. The next prime is 10227601. The reversal of 10227600 is 672201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10227599) and next prime (10227601).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (10227601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10327 + ... + 11273.

It is an arithmetic number, because the mean of its divisors is an integer number (303676).

Almost surely, 2^10227600 is an apocalyptic number.

10227600 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 10227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220560).

10227600 is an abundant number, since it is smaller than the sum of its proper divisors (26213520).

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

10227600 is a wasteful number, since it uses less digits than its factorization.

10227600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10227600 is about 3198.0619130967. The cubic root of 10227600 is about 217.0657208541.

Adding to 10227600 its reverse (672201), we get a palindrome (10899801).

The spelling of 10227600 in words is "ten million, two hundred twenty-seven thousand, six hundred".