8460144 has 180 divisors, whose sum is σ = 30321720. Its totient is φ = 2177280.

The previous prime is 8460143. The next prime is 8460191. The reversal of 8460144 is 4410648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8460143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77562 + ... + 77670.

It is an arithmetic number, because the mean of its divisors is an integer number (168454).

Almost surely, 2^8460144 is an apocalyptic number.

8460144 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 8460144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160860).

8460144 is an abundant number, since it is smaller than the sum of its proper divisors (21861576).

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

8460144 is a wasteful number, since it uses less digits than its factorization.

8460144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8460144 is about 2908.6326684544. The cubic root of 8460144 is about 203.7632778931.

The spelling of 8460144 in words is "eight million, four hundred sixty thousand, one hundred forty-four".