20830824 has 128 divisors (see below), whose sum is σ = 69120000. Its totient is φ = 5683392.

The previous prime is 20830819. The next prime is 20830837. The reversal of 20830824 is 42803802.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 34477 + ... + 35075.

It is an arithmetic number, because the mean of its divisors is an integer number (540000).

Almost surely, 2^20830824 is an apocalyptic number.

20830824 is a gapful number since it is divisible by the number (24) 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 20830824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560000).

20830824 is an abundant number, since it is smaller than the sum of its proper divisors (48289176).

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

20830824 is a wasteful number, since it uses less digits than its factorization.

20830824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20830824 is about 4564.0797539044. The cubic root of 20830824 is about 275.1495561162.

The spelling of 20830824 in words is "twenty million, eight hundred thirty thousand, eight hundred twenty-four".