11038480 has 40 divisors (see below), whose sum is σ = 26498304. Its totient is φ = 4272000.

The previous prime is 11038477. The next prime is 11038493. The reversal of 11038480 is 8483011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 4705.

Almost surely, 2^11038480 is an apocalyptic number.

11038480 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 11038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249152).

11038480 is an abundant number, since it is smaller than the sum of its proper divisors (15459824).

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

11038480 is a wasteful number, since it uses less digits than its factorization.

11038480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 11038480 is about 3322.4208041728. The cubic root of 11038480 is about 222.6570368065.

The spelling of 11038480 in words is "eleven million, thirty-eight thousand, four hundred eighty".