820236648 has 64 divisors (see below), whose sum is σ = 2556587520. Its totient is φ = 213048000.

The previous prime is 820236647. The next prime is 820236671. The reversal of 820236648 is 846632028.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (820236643) 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, 220078 + ... + 223773.

It is an arithmetic number, because the mean of its divisors is an integer number (39946680).

Almost surely, 2^820236648 is an apocalyptic number.

820236648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

820236648 is an abundant number, since it is smaller than the sum of its proper divisors (1736350872).

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

820236648 is a wasteful number, since it uses less digits than its factorization.

820236648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443878 (or 443874 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 820236648 is about 28639.7738817889. The cubic root of 820236648 is about 936.0801943854.

It can be divided in two parts, 8202 and 36648, that added together give a triangular number (44850 = T₂₉₉).

The spelling of 820236648 in words is "eight hundred twenty million, two hundred thirty-six thousand, six hundred forty-eight".