822042624 has 224 divisors, whose sum is σ = 2466100224. Its totient is φ = 241827840.

The previous prime is 822042623. The next prime is 822042629. The reversal of 822042624 is 426240228.

It is a junction number, because it is equal to n+sod(n) for n = 822042591 and 822042600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822042623) 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, 9904087 + ... + 9904169.

It is an arithmetic number, because the mean of its divisors is an integer number (11009376).

Almost surely, 2^822042624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233050112).

822042624 is an abundant number, since it is smaller than the sum of its proper divisors (1644057600).

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

822042624 is a wasteful number, since it uses less digits than its factorization.

822042624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 822042624 is about 28671.2857053882. The cubic root of 822042624 is about 936.7667032349.

The spelling of 822042624 in words is "eight hundred twenty-two million, forty-two thousand, six hundred twenty-four".