11745020 has 48 divisors (see below), whose sum is σ = 28858368. Its totient is φ = 3931200.

The previous prime is 11745017. The next prime is 11745023. The reversal of 11745020 is 2054711.

11745020 = T₁₁₅ + T₁₁₆ + ... + T₄₁₅.

It is an interprime number because it is at equal distance from previous prime (11745017) and next prime (11745023).

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

It is a junction number, because it is equal to n+sod(n) for n = 11744983 and 11745001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11745023) 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, 5045 + ... + 6995.

It is an arithmetic number, because the mean of its divisors is an integer number (601216).

Almost surely, 2^11745020 is an apocalyptic number.

11745020 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 11745020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429184).

11745020 is an abundant number, since it is smaller than the sum of its proper divisors (17113348).

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

11745020 is a wasteful number, since it uses less digits than its factorization.

11745020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 11745020 is about 3427.1008155582. The cubic root of 11745020 is about 227.3096745750.

Adding to 11745020 its reverse (2054711), we get a palindrome (13799731).

The spelling of 11745020 in words is "eleven million, seven hundred forty-five thousand, twenty".