11141640 has 48 divisors (see below), whose sum is σ = 36211500. Its totient is φ = 2971008.

The previous prime is 11141621. The next prime is 11141693. The reversal of 11141640 is 4614111.

11141640 is a `hidden beast` number, since 11 + 14 + 1 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 527076 = 3258^2 + 726^2 .

It is a super-2 number, since 2×11141640² = 248272283779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15115 + ... + 15834.

Almost surely, 2^11141640 is an apocalyptic number.

11141640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141640 is an abundant number, since it is smaller than the sum of its proper divisors (25069860).

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

11141640 is a wasteful number, since it uses less digits than its factorization.

11141640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30966 (or 30959 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11141640 is about 3337.9095254365. The cubic root of 11141640 is about 223.3485002447.

Adding to 11141640 its reverse (4614111), we get a palindrome (15755751).

It can be divided in two parts, 11141 and 640, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 11141640 in words is "eleven million, one hundred forty-one thousand, six hundred forty".