21676032 has 180 divisors, whose sum is σ = 74708760. Its totient is φ = 6193152.

The previous prime is 21676007. The next prime is 21676033. The reversal of 21676032 is 23067612.

It is a happy number.

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.

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

It is a junction number, because it is equal to n+sod(n) for n = 21675987 and 21676005.

It is not an unprimeable number, because it can be changed into a prime (21676033) 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, 3096573 + ... + 3096579.

Almost surely, 2^21676032 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 21676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37354380).

21676032 is an abundant number, since it is smaller than the sum of its proper divisors (53032728).

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

21676032 is an frugal number, since it uses more digits than its factorization.

21676032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 21676032 is about 4655.7525707451. The cubic root of 21676032 is about 278.8217152111.

Multiplying 21676032 by its sum of digits (27), we get a square (585252864 = 24192²).

21676032 divided by its sum of digits (27) gives a square (802816 = 896²).

Multiplying 21676032 by its product of nonzero digits (3024), we get a cube (65548320768 = 4032³).

The spelling of 21676032 in words is "twenty-one million, six hundred seventy-six thousand, thirty-two".