11475620 has 96 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 3801600.

The previous prime is 11475617. The next prime is 11475623. The reversal of 11475620 is 2657411.

11475620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11475617) and next prime (11475623).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11475620.

It is not an unprimeable number, because it can be changed into a prime (11475623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113570 + ... + 113670.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 2^11475620 is an apocalyptic number.

11475620 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 11475620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

11475620 is an abundant number, since it is smaller than the sum of its proper divisors (17312860).

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

11475620 is a wasteful number, since it uses less digits than its factorization.

11475620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 11475620 is about 3387.5684494929. The cubic root of 11475620 is about 225.5582516262.

The spelling of 11475620 in words is "eleven million, four hundred seventy-five thousand, six hundred twenty".