36232560 has 360 divisors, whose sum is σ = 154365120. Its totient is φ = 7547904.

The previous prime is 36232543. The next prime is 36232577. The reversal of 36232560 is 6523263.

It is an interprime number because it is at equal distance from previous prime (36232543) and next prime (36232577).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458601 + ... + 458679.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 2^36232560 is an apocalyptic number.

36232560 is a gapful number since it is divisible by the number (30) 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 36232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

36232560 is an abundant number, since it is smaller than the sum of its proper divisors (118132560).

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

36232560 is a wasteful number, since it uses less digits than its factorization.

36232560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36232560 is about 6019.3488019885. The cubic root of 36232560 is about 330.9022143093.

The spelling of 36232560 in words is "thirty-six million, two hundred thirty-two thousand, five hundred sixty".