11034800 has 90 divisors (see below), whose sum is σ = 30894228. Its totient is φ = 3776640.

The previous prime is 11034797. The next prime is 11034811. The reversal of 11034800 is 843011.

It is a happy number.

It is a super-2 number, since 2×11034800² = 243533622080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19319 + ... + 19881.

Almost surely, 2^11034800 is an apocalyptic number.

11034800 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 11034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447114).

11034800 is an abundant number, since it is smaller than the sum of its proper divisors (19859428).

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

11034800 is a wasteful number, since it uses less digits than its factorization.

11034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11034800 is about 3321.8669449573. The cubic root of 11034800 is about 222.6322909790.

Adding to 11034800 its reverse (843011), we get a palindrome (11877811).

The spelling of 11034800 in words is "eleven million, thirty-four thousand, eight hundred".