21632832 has 168 divisors, whose sum is σ = 69896736. Its totient is φ = 6594048.

The previous prime is 21632813. The next prime is 21632839. The reversal of 21632832 is 23823612.

21632832 is a `hidden beast` number, since 21 + 632 + 8 + 3 + 2 = 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 = 21632796 and 21632805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21632839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202123 + ... + 202229.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 2^21632832 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 21632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34948368).

21632832 is an abundant number, since it is smaller than the sum of its proper divisors (48263904).

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

21632832 is a wasteful number, since it uses less digits than its factorization.

21632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21632832 is about 4651.1108350587. The cubic root of 21632832 is about 278.6363628848.

The spelling of 21632832 in words is "twenty-one million, six hundred thirty-two thousand, eight hundred thirty-two".