2365632 has 84 divisors (see below), whose sum is σ = 7147560. Its totient is φ = 767232.

The previous prime is 2365631. The next prime is 2365637.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2365632 is a `hidden beast` number, since 2 + 3 + 656 + 3 + 2 = 666.

2365632 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2365596 and 2365605.

It is not an unprimeable number, because it can be changed into a prime (2365631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63918 + ... + 63954.

It is an arithmetic number, because the mean of its divisors is an integer number (85090).

2^2365632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573780).

2365632 is an abundant number, since it is smaller than the sum of its proper divisors (4781928).

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

2365632 is an equidigital number, since it uses as much as digits as its factorization.

2365632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 42 counting only the distinct ones).

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

The square root of 2365632 is about 1538.0611171212. The cubic root of 2365632 is about 133.2444296230.

Multiplying 2365632 by its sum of digits (27), we get a square (63872064 = 7992²).

2365632 divided by its sum of digits (27) gives a square (87616 = 296²).

The spelling of 2365632 in words is "two million, three hundred sixty-five thousand, six hundred thirty-two".