10027920 has 160 divisors (see below), whose sum is σ = 36569088. Its totient is φ = 2225664.

The previous prime is 10027907. The next prime is 10027921. The reversal of 10027920 is 2972001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027921) 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, 78897 + ... + 79023.

Almost surely, 2^10027920 is an apocalyptic number.

10027920 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 10027920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284544).

10027920 is an abundant number, since it is smaller than the sum of its proper divisors (26541168).

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

10027920 is a wasteful number, since it uses less digits than its factorization.

10027920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10027920 is about 3166.6891227274. The cubic root of 10027920 is about 215.6437887429.

Adding to 10027920 its reverse (2972001), we get a palindrome (12999921).

The spelling of 10027920 in words is "ten million, twenty-seven thousand, nine hundred twenty".