20958432 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 6251520.

The previous prime is 20958407. The next prime is 20958437. The reversal of 20958432 is 23485902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20958393 and 20958402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20958437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93873 + ... + 94095.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^20958432 is an apocalyptic number.

20958432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20958432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

20958432 is an abundant number, since it is smaller than the sum of its proper divisors (40005408).

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

20958432 is a wasteful number, since it uses less digits than its factorization.

20958432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 20958432 is about 4578.0380077059. The cubic root of 20958432 is about 275.7102609518.

The spelling of 20958432 in words is "twenty million, nine hundred fifty-eight thousand, four hundred thirty-two".