846767040 has 336 divisors, whose sum is σ = 3202301952. Its totient is φ = 188934144.

The previous prime is 846767003. The next prime is 846767063. The reversal of 846767040 is 40767648.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 846766983 and 846767001.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2210689 + ... + 2211071.

Almost surely, 2^846767040 is an apocalyptic number.

846767040 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 846767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601150976).

846767040 is an abundant number, since it is smaller than the sum of its proper divisors (2355534912).

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

846767040 is a wasteful number, since it uses less digits than its factorization.

846767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 846767040 is about 29099.2618463081. The cubic root of 846767040 is about 946.0657386597.

The spelling of 846767040 in words is "eight hundred forty-six million, seven hundred sixty-seven thousand, forty".