827021840 has 20 divisors (see below), whose sum is σ = 1922825964. Its totient is φ = 330808704.

The previous prime is 827021837. The next prime is 827021843. The reversal of 827021840 is 48120728.

It is an interprime number because it is at equal distance from previous prime (827021837) and next prime (827021843).

It can be written as a sum of positive squares in 2 ways, for example, as 586027264 + 240994576 = 24208^2 + 15524^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 827021797 and 827021806.

It is not an unprimeable number, because it can be changed into a prime (827021843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5168807 + ... + 5168966.

Almost surely, 2^827021840 is an apocalyptic number.

827021840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827021840 is an abundant number, since it is smaller than the sum of its proper divisors (1095804124).

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

827021840 is a wasteful number, since it uses less digits than its factorization.

827021840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10337786 (or 10337780 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 827021840 is about 28757.9874121956. The cubic root of 827021840 is about 938.6542686878.

The spelling of 827021840 in words is "eight hundred twenty-seven million, twenty-one thousand, eight hundred forty".