1146820840 has 128 divisors (see below), whose sum is σ = 2909571840. Its totient is φ = 403200000.

The previous prime is 1146820823. The next prime is 1146820847. The reversal of 1146820840 is 480286411.

It is a junction number, because it is equal to n+sod(n) for n = 1146820796 and 1146820805.

It is not an unprimeable number, because it can be changed into a prime (1146820847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2723830 + ... + 2724250.

It is an arithmetic number, because the mean of its divisors is an integer number (22731030).

Almost surely, 2^1146820840 is an apocalyptic number.

1146820840 is a gapful number since it is divisible by the number (10) 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 1146820840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454785920).

1146820840 is an abundant number, since it is smaller than the sum of its proper divisors (1762751000).

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

1146820840 is a wasteful number, since it uses less digits than its factorization.

1146820840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 1146820840 is about 33864.7433180882. The cubic root of 1146820840 is about 1046.7232207847.

The spelling of 1146820840 in words is "one billion, one hundred forty-six million, eight hundred twenty thousand, eight hundred forty".