822145840 has 80 divisors (see below), whose sum is σ = 2031378912. Its totient is φ = 308375552.

The previous prime is 822145837. The next prime is 822145867. The reversal of 822145840 is 48541228.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 822145796 and 822145805.

It is an unprimeable number.

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, 430167 + ... + 432073.

Almost surely, 2^822145840 is an apocalyptic number.

822145840 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 822145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015689456).

822145840 is an abundant number, since it is smaller than the sum of its proper divisors (1209233072).

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

822145840 is a wasteful number, since it uses less digits than its factorization.

822145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 822145840 is about 28673.0856379288. The cubic root of 822145840 is about 936.8059085278.

The spelling of 822145840 in words is "eight hundred twenty-two million, one hundred forty-five thousand, eight hundred forty".