820014640 has 60 divisors (see below), whose sum is σ = 1951276896. Its totient is φ = 320339584.

The previous prime is 820014631. The next prime is 820014641. The reversal of 820014640 is 46410028.

It is not an unprimeable number, because it can be changed into a prime (820014641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1755687 + ... + 1756153.

Almost surely, 2^820014640 is an apocalyptic number.

820014640 is a gapful number since it is divisible by the number (80) 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 820014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975638448).

820014640 is an abundant number, since it is smaller than the sum of its proper divisors (1131262256).

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

820014640 is an equidigital number, since it uses as much as digits as its factorization.

820014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 820014640 is about 28635.8977509000. The cubic root of 820014640 is about 935.9957325639.

Adding to 820014640 its reverse (46410028), we get a palindrome (866424668).

The spelling of 820014640 in words is "eight hundred twenty million, fourteen thousand, six hundred forty".