21936528 has 160 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 6580224.

The previous prime is 21936527. The next prime is 21936529. The reversal of 21936528 is 82563912.

It is an interprime number because it is at equal distance from previous prime (21936527) and next prime (21936529).

It is a super-2 number, since 2×21936528² = 962422521389568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21936492 and 21936501.

It is not an unprimeable number, because it can be changed into a prime (21936521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212925 + ... + 213027.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^21936528 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 21936528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

21936528 is an abundant number, since it is smaller than the sum of its proper divisors (47701872).

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

21936528 is a wasteful number, since it uses less digits than its factorization.

21936528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 21936528 is about 4683.6447346057. The cubic root of 21936528 is about 279.9342022263.

The spelling of 21936528 in words is "twenty-one million, nine hundred thirty-six thousand, five hundred twenty-eight".