10022880 has 192 divisors, whose sum is σ = 38223360. Its totient is φ = 2156544.

The previous prime is 10022869. The next prime is 10022923. The reversal of 10022880 is 8822001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63762 + ... + 63918.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

Almost surely, 2^10022880 is an apocalyptic number.

10022880 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 10022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

10022880 is an abundant number, since it is smaller than the sum of its proper divisors (28200480).

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

10022880 is a wasteful number, since it uses less digits than its factorization.

10022880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10022880 is about 3165.8932388822. The cubic root of 10022880 is about 215.6076553997.

Adding to 10022880 its reverse (8822001), we get a palindrome (18844881).

The spelling of 10022880 in words is "ten million, twenty-two thousand, eight hundred eighty".