846990144 has 504 divisors, whose sum is σ = 3306543552. Its totient is φ = 201277440.

The previous prime is 846990121. The next prime is 846990161. The reversal of 846990144 is 441099648.

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

It is a self number, because there is not a number n which added to its sum of digits gives 846990144.

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, 7495432 + ... + 7495544.

Almost surely, 2^846990144 is an apocalyptic number.

846990144 is a gapful number since it is divisible by the number (84) 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 846990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653271776).

846990144 is an abundant number, since it is smaller than the sum of its proper divisors (2459553408).

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

846990144 is a wasteful number, since it uses less digits than its factorization.

846990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 846990144 is about 29103.0950931340. The cubic root of 846990144 is about 946.1488203519.

The spelling of 846990144 in words is "eight hundred forty-six million, nine hundred ninety thousand, one hundred forty-four".