11029980 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2665728.

The previous prime is 11029979. The next prime is 11029981. The reversal of 11029980 is 8992011.

11029980 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 an interprime number because it is at equal distance from previous prime (11029979) and next prime (11029981).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11029981) 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, 61531 + ... + 61709.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^11029980 is an apocalyptic number.

11029980 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 11029980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

11029980 is an abundant number, since it is smaller than the sum of its proper divisors (22838820).

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

11029980 is a wasteful number, since it uses less digits than its factorization.

11029980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 11029980 is about 3321.1413700714. The cubic root of 11029980 is about 222.5998710009.

The spelling of 11029980 in words is "eleven million, twenty-nine thousand, nine hundred eighty".