846966240 has 192 divisors, whose sum is σ = 3015532800. Its totient is φ = 221962752.

The previous prime is 846966203. The next prime is 846966271. The reversal of 846966240 is 42669648.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253219 + ... + 256541.

It is an arithmetic number, because the mean of its divisors is an integer number (15705900).

Almost surely, 2^846966240 is an apocalyptic number.

846966240 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 846966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507766400).

846966240 is an abundant number, since it is smaller than the sum of its proper divisors (2168566560).

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

846966240 is a wasteful number, since it uses less digits than its factorization.

846966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 846966240 is about 29102.6844122669. The cubic root of 846966240 is about 946.1399194399.

The spelling of 846966240 in words is "eight hundred forty-six million, nine hundred sixty-six thousand, two hundred forty".