123284160 has 224 divisors, whose sum is σ = 458419200. Its totient is φ = 31104000.

The previous prime is 123284159. The next prime is 123284173. The reversal of 123284160 is 61482321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163785 + ... + 164535.

Almost surely, 2^123284160 is an apocalyptic number.

123284160 is a gapful number since it is divisible by the number (10) 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 123284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229209600).

123284160 is an abundant number, since it is smaller than the sum of its proper divisors (335135040).

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

123284160 is a wasteful number, since it uses less digits than its factorization.

123284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123284160 is about 11103.3400380246. The cubic root of 123284160 is about 497.7016648317.

The spelling of 123284160 in words is "one hundred twenty-three million, two hundred eighty-four thousand, one hundred sixty".