11274640 has 80 divisors (see below), whose sum is σ = 29091888. Its totient is φ = 4036608.

The previous prime is 11274629. The next prime is 11274667. The reversal of 11274640 is 4647211.

It can be written as a sum of positive squares in 8 ways, for example, as 620944 + 10653696 = 788^2 + 3264^2 .

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

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, 38334 + ... + 38626.

Almost surely, 2^11274640 is an apocalyptic number.

11274640 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 11274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545944).

11274640 is an abundant number, since it is smaller than the sum of its proper divisors (17817248).

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

11274640 is a wasteful number, since it uses less digits than its factorization.

11274640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 11274640 is about 3357.7730715461. The cubic root of 11274640 is about 224.2337059128.

It can be divided in two parts, 1 and 1274640, that added together give a square (1274641 = 1129²).

The spelling of 11274640 in words is "eleven million, two hundred seventy-four thousand, six hundred forty".