846492768 has 180 divisors, whose sum is σ = 2737419300. Its totient is φ = 256417920.

The previous prime is 846492767. The next prime is 846492793. The reversal of 846492768 is 867294648.

846492768 is a `hidden beast` number, since 84 + 6 + 492 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846492763) 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 29 ways as a sum of consecutive naturals, for example, 312283 + ... + 314981.

It is an arithmetic number, because the mean of its divisors is an integer number (15207885).

Almost surely, 2^846492768 is an apocalyptic number.

846492768 is a gapful number since it is divisible by the number (88) 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 846492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368709650).

846492768 is an abundant number, since it is smaller than the sum of its proper divisors (1890926532).

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

846492768 is a wasteful number, since it uses less digits than its factorization.

846492768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2715 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 846492768 is about 29094.5487677675. The cubic root of 846492768 is about 945.9635825173.

The spelling of 846492768 in words is "eight hundred forty-six million, four hundred ninety-two thousand, seven hundred sixty-eight".