23641632 has 120 divisors (see below), whose sum is σ = 79523136. Its totient is φ = 6749568.

The previous prime is 23641627. The next prime is 23641633. The reversal of 23641632 is 23614632.

23641632 is a `hidden beast` number, since 23 + 6 + 4 + 1 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23641596 and 23641605.

It is not an unprimeable number, because it can be changed into a prime (23641633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17493 + ... + 18795.

Almost surely, 2^23641632 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 23641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39761568).

23641632 is an abundant number, since it is smaller than the sum of its proper divisors (55881504).

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

23641632 is a wasteful number, since it uses less digits than its factorization.

23641632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1315 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 23641632 is about 4862.2661383351. The cubic root of 23641632 is about 287.0069967983.

Subtracting from 23641632 its reverse (23614632), we obtain a cube (27000 = 30³).

The spelling of 23641632 in words is "twenty-three million, six hundred forty-one thousand, six hundred thirty-two".