840829248 has 560 divisors, whose sum is σ = 3186501120. Its totient is φ = 213663744.

The previous prime is 840829247. The next prime is 840829291. The reversal of 840829248 is 842928048.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840829247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17889961 + ... + 17890007.

Almost surely, 2^840829248 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 840829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593250560).

840829248 is an abundant number, since it is smaller than the sum of its proper divisors (2345671872).

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

840829248 is a wasteful number, since it uses less digits than its factorization.

840829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 840829248 is about 28997.0558505514. The cubic root of 840829248 is about 943.8491811148.

The spelling of 840829248 in words is "eight hundred forty million, eight hundred twenty-nine thousand, two hundred forty-eight".