11288640 has 112 divisors (see below), whose sum is σ = 39136320. Its totient is φ = 2734080.

The previous prime is 11288633. The next prime is 11288677. The reversal of 11288640 is 4688211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11288598 and 11288607.

It is a congruent number.

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, 10026 + ... + 11094.

Almost surely, 2^11288640 is an apocalyptic number.

11288640 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 11288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568160).

11288640 is an abundant number, since it is smaller than the sum of its proper divisors (27847680).

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

11288640 is a wasteful number, since it uses less digits than its factorization.

11288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11288640 is about 3359.8571398201. The cubic root of 11288640 is about 224.3264797074.

The spelling of 11288640 in words is "eleven million, two hundred eighty-eight thousand, six hundred forty".