20958480 has 160 divisors (see below), whose sum is σ = 74757120. Its totient is φ = 5391360.

The previous prime is 20958473. The next prime is 20958517. The reversal of 20958480 is 8485902.

20958480 = T₅ + T₆ + ... + T₅₀₀.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66804 + ... + 67116.

It is an arithmetic number, because the mean of its divisors is an integer number (467232).

Almost surely, 2^20958480 is an apocalyptic number.

20958480 is a gapful number since it is divisible by the number (20) 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 20958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37378560).

20958480 is an abundant number, since it is smaller than the sum of its proper divisors (53798640).

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

20958480 is a wasteful number, since it uses less digits than its factorization.

20958480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

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

The square root of 20958480 is about 4578.0432501234. The cubic root of 20958480 is about 275.7104714332.

The spelling of 20958480 in words is "twenty million, nine hundred fifty-eight thousand, four hundred eighty".