821727368 has 128 divisors (see below), whose sum is σ = 2052864000. Its totient is φ = 298521600.

The previous prime is 821727359. The next prime is 821727421. The reversal of 821727368 is 863727128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1371533 + ... + 1372131.

It is an arithmetic number, because the mean of its divisors is an integer number (16038000).

Almost surely, 2^821727368 is an apocalyptic number.

821727368 is a gapful number since it is divisible by the number (88) 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 821727368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026432000).

821727368 is an abundant number, since it is smaller than the sum of its proper divisors (1231136632).

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

821727368 is a wasteful number, since it uses less digits than its factorization.

821727368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The square root of 821727368 is about 28665.7874128725. The cubic root of 821727368 is about 936.6469369051.

The spelling of 821727368 in words is "eight hundred twenty-one million, seven hundred twenty-seven thousand, three hundred sixty-eight".