846072920 has 256 divisors, whose sum is σ = 2485831680. Its totient is φ = 251596800.

The previous prime is 846072911. The next prime is 846072937. The reversal of 846072920 is 29270648.

846072920 = T₂₂₉ + T₂₃₀ + ... + T₁₇₁₉.

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 63 ways as a sum of consecutive naturals, for example, 11590004 + ... + 11590076.

It is an arithmetic number, because the mean of its divisors is an integer number (9710280).

Almost surely, 2^846072920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846072920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242915840).

846072920 is an abundant number, since it is smaller than the sum of its proper divisors (1639758760).

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

846072920 is a wasteful number, since it uses less digits than its factorization.

846072920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 846072920 is about 29087.3326381090. The cubic root of 846072920 is about 945.8071619652.

The spelling of 846072920 in words is "eight hundred forty-six million, seventy-two thousand, nine hundred twenty".