10219920 has 80 divisors (see below), whose sum is σ = 32081280. Its totient is φ = 2691072.

The previous prime is 10219903. The next prime is 10219933. The reversal of 10219920 is 2991201.

10219920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23061 + ... + 23499.

It is an arithmetic number, because the mean of its divisors is an integer number (401016).

Almost surely, 2^10219920 is an apocalyptic number.

10219920 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 10219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040640).

10219920 is an abundant number, since it is smaller than the sum of its proper divisors (21861360).

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

10219920 is a wasteful number, since it uses less digits than its factorization.

10219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 10219920 is about 3196.8609603797. The cubic root of 10219920 is about 217.0113750258.

The spelling of 10219920 in words is "ten million, two hundred nineteen thousand, nine hundred twenty".