11279000 has 32 divisors (see below), whose sum is σ = 26395200. Its totient is φ = 4511200.

The previous prime is 11278979. The next prime is 11279003. The reversal of 11279000 is 97211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11279003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4640 + ... + 6639.

It is an arithmetic number, because the mean of its divisors is an integer number (824850).

Almost surely, 2^11279000 is an apocalyptic number.

11279000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11279000 is an abundant number, since it is smaller than the sum of its proper divisors (15116200).

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

11279000 is a wasteful number, since it uses less digits than its factorization.

11279000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300 (or 11286 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 11279000 is about 3358.4222486162. The cubic root of 11279000 is about 224.2626065535.

The spelling of 11279000 in words is "eleven million, two hundred seventy-nine thousand".