11653040 has 40 divisors (see below), whose sum is σ = 30965280. Its totient is φ = 3995136.

The previous prime is 11653021. The next prime is 11653067. The reversal of 11653040 is 4035611.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9845 + ... + 10964.

It is an arithmetic number, because the mean of its divisors is an integer number (774132).

Almost surely, 2^11653040 is an apocalyptic number.

11653040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11653040 is an abundant number, since it is smaller than the sum of its proper divisors (19312240).

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

11653040 is a wasteful number, since it uses less digits than its factorization.

11653040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20829 (or 20823 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 11653040 is about 3413.6549327663. The cubic root of 11653040 is about 226.7147341351.

Adding to 11653040 its reverse (4035611), we get a palindrome (15688651).

The spelling of 11653040 in words is "eleven million, six hundred fifty-three thousand, forty".