840197120 has 264 divisors, whose sum is σ = 2495063736. Its totient is φ = 269746176.

The previous prime is 840197093. The next prime is 840197161. The reversal of 840197120 is 21791048.

It can be written as a sum of positive squares in 4 ways, for example, as 424689664 + 415507456 = 20608^2 + 20384^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4264862 + ... + 4265058.

It is an arithmetic number, because the mean of its divisors is an integer number (9450999).

Almost surely, 2^840197120 is an apocalyptic number.

840197120 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 840197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247531868).

840197120 is an abundant number, since it is smaller than the sum of its proper divisors (1654866616).

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

840197120 is a wasteful number, since it uses less digits than its factorization.

840197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 840197120 is about 28986.1539359743. The cubic root of 840197120 is about 943.6125959922.

The spelling of 840197120 in words is "eight hundred forty million, one hundred ninety-seven thousand, one hundred twenty".