846861120 has 504 divisors, whose sum is σ = 3597898824. Its totient is φ = 181665792.

The previous prime is 846861107. The next prime is 846861151. The reversal of 846861120 is 21168648.

It can be written as a sum of positive squares in 4 ways, for example, as 142277184 + 704583936 = 11928^2 + 26544^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2398864 + ... + 2399216.

Almost surely, 2^846861120 is an apocalyptic number.

846861120 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 846861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798949412).

846861120 is an abundant number, since it is smaller than the sum of its proper divisors (2751037704).

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

846861120 is a wasteful number, since it uses less digits than its factorization.

846861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 846861120 is about 29100.8783372599. The cubic root of 846861120 is about 946.1007748874.

The spelling of 846861120 in words is "eight hundred forty-six million, eight hundred sixty-one thousand, one hundred twenty".