11274000 has 80 divisors (see below), whose sum is σ = 36366720. Its totient is φ = 3004800.

The previous prime is 11273993. The next prime is 11274007. The reversal of 11274000 is 47211.

It is an interprime number because it is at equal distance from previous prime (11273993) and next prime (11274007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11274007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5061 + ... + 6939.

It is an arithmetic number, because the mean of its divisors is an integer number (454584).

Almost surely, 2^11274000 is an apocalyptic number.

11274000 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 11274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18183360).

11274000 is an abundant number, since it is smaller than the sum of its proper divisors (25092720).

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

11274000 is a wasteful number, since it uses less digits than its factorization.

11274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 11274000 is about 3357.6777689350. The cubic root of 11274000 is about 224.2294629898.

The spelling of 11274000 in words is "eleven million, two hundred seventy-four thousand".