20958048 has 96 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 6894720.

The previous prime is 20958043. The next prime is 20958053. The reversal of 20958048 is 84085902.

It is an interprime number because it is at equal distance from previous prime (20958043) and next prime (20958053).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20958043) 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, 109633 + ... + 109823.

It is an arithmetic number, because the mean of its divisors is an integer number (645120).

Almost surely, 2^20958048 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 20958048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

20958048 is an abundant number, since it is smaller than the sum of its proper divisors (40973472).

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

20958048 is a wasteful number, since it uses less digits than its factorization.

20958048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20958048 is about 4577.9960681503. The cubic root of 20958048 is about 275.7085770887.

Adding to 20958048 its sum of digits (36), we get a square (20958084 = 4578²).

It can be divided in two parts, 209580 and 48, that added together give a triangular number (209628 = T₆₄₇).

The spelling of 20958048 in words is "twenty million, nine hundred fifty-eight thousand, forty-eight".