840196224 has 192 divisors, whose sum is σ = 2853127680. Its totient is φ = 232243200.

The previous prime is 840196213. The next prime is 840196241. The reversal of 840196224 is 422691048.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248304 + ... + 251664.

It is an arithmetic number, because the mean of its divisors is an integer number (14860040).

Almost surely, 2^840196224 is an apocalyptic number.

840196224 is a gapful number since it is divisible by the number (84) 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 840196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426563840).

840196224 is an abundant number, since it is smaller than the sum of its proper divisors (2012931456).

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

840196224 is a wasteful number, since it uses less digits than its factorization.

840196224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 840196224 is about 28986.1384803150. The cubic root of 840196224 is about 943.6122605641.

The spelling of 840196224 in words is "eight hundred forty million, one hundred ninety-six thousand, two hundred twenty-four".