846195840 has 384 divisors, whose sum is σ = 3452267520. Its totient is φ = 186900480.

The previous prime is 846195817. The next prime is 846195841. The reversal of 846195840 is 48591648.

846195840 is a `hidden beast` number, since 8 + 4 + 61 + 9 + 584 + 0 = 666.

846195840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (846195841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249582 + ... + 1250258.

It is an arithmetic number, because the mean of its divisors is an integer number (8990280).

Almost surely, 2^846195840 is an apocalyptic number.

846195840 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 846195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726133760).

846195840 is an abundant number, since it is smaller than the sum of its proper divisors (2606071680).

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

846195840 is a wasteful number, since it uses less digits than its factorization.

846195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 846195840 is about 29089.4455086377. The cubic root of 846195840 is about 945.8529629768.

The spelling of 846195840 in words is "eight hundred forty-six million, one hundred ninety-five thousand, eight hundred forty".