820167040 has 384 divisors, whose sum is σ = 2637230400. Its totient is φ = 237895680.

The previous prime is 820167013. The next prime is 820167041. The reversal of 820167040 is 40761028.

820167040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820167041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9215316 + ... + 9215404.

Almost surely, 2^820167040 is an apocalyptic number.

820167040 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 820167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318615200).

820167040 is an abundant number, since it is smaller than the sum of its proper divisors (1817063360).

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

820167040 is a wasteful number, since it uses less digits than its factorization.

820167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 820167040 is about 28638.5586229475. The cubic root of 820167040 is about 936.0537140139.

The spelling of 820167040 in words is "eight hundred twenty million, one hundred sixty-seven thousand, forty".