11029920 has 96 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 2672640.

The previous prime is 11029897. The next prime is 11029927. The reversal of 11029920 is 2992011.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (11029927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4236 + ... + 6324.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^11029920 is an apocalyptic number.

11029920 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 11029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

11029920 is an abundant number, since it is smaller than the sum of its proper divisors (26891040).

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

11029920 is a wasteful number, since it uses less digits than its factorization.

11029920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

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

The square root of 11029920 is about 3321.1323370200. The cubic root of 11029920 is about 222.5994673732.

The spelling of 11029920 in words is "eleven million, twenty-nine thousand, nine hundred twenty".