11590020 has 144 divisors (see below), whose sum is σ = 39352320. Its totient is φ = 2830464.

The previous prime is 11590013. The next prime is 11590031. The reversal of 11590020 is 2009511.

11590020 = T₁₅₉ + T₁₆₀ + ... + T₄₁₈.

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

It is a junction number, because it is equal to n+sod(n) for n = 11589975 and 11590002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91197 + ... + 91323.

It is an arithmetic number, because the mean of its divisors is an integer number (273280).

Almost surely, 2^11590020 is an apocalyptic number.

11590020 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 11590020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676160).

11590020 is an abundant number, since it is smaller than the sum of its proper divisors (27762300).

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

11590020 is a wasteful number, since it uses less digits than its factorization.

11590020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11590020 is about 3404.4118434761. The cubic root of 11590020 is about 226.3053017447.

11590020 divided by its product of nonzero digits (90) gives a triangular number (128778 = T₅₀₇).

Adding to 11590020 its reverse (2009511), we get a palindrome (13599531).

The spelling of 11590020 in words is "eleven million, five hundred ninety thousand, twenty".