820619520 has 144 divisors (see below), whose sum is σ = 2995359360. Its totient is φ = 187564032.

The previous prime is 820619497. The next prime is 820619521. The reversal of 820619520 is 25916028.

It is not an unprimeable number, because it can be changed into a prime (820619521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11616 + ... + 42144.

Almost surely, 2^820619520 is an apocalyptic number.

820619520 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 820619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497679680).

820619520 is an abundant number, since it is smaller than the sum of its proper divisors (2174739840).

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

820619520 is a wasteful number, since it uses less digits than its factorization.

820619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30560 (or 30546 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 820619520 is about 28646.4573725967. The cubic root of 820619520 is about 936.2258203040.

The spelling of 820619520 in words is "eight hundred twenty million, six hundred nineteen thousand, five hundred twenty".