20958672 has 160 divisors (see below), whose sum is σ = 67456000. Its totient is φ = 5588352.

The previous prime is 20958631. The next prime is 20958689. The reversal of 20958672 is 27685902.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20958672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312783 + ... + 312849.

It is an arithmetic number, because the mean of its divisors is an integer number (421600).

Almost surely, 2^20958672 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 20958672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33728000).

20958672 is an abundant number, since it is smaller than the sum of its proper divisors (46497328).

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

20958672 is a wasteful number, since it uses less digits than its factorization.

20958672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 20958672 is about 4578.0642197331. The cubic root of 20958672 is about 275.7113133557.

The spelling of 20958672 in words is "twenty million, nine hundred fifty-eight thousand, six hundred seventy-two".