123006832 has 80 divisors (see below), whose sum is σ = 278419680. Its totient is φ = 52125696.

The previous prime is 123006797. The next prime is 123006859. The reversal of 123006832 is 238600321.

It is a junction number, because it is equal to n+sod(n) for n = 123006797 and 123006806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151644 + ... + 152452.

It is an arithmetic number, because the mean of its divisors is an integer number (3480246).

Almost surely, 2^123006832 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 123006832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209840).

123006832 is an abundant number, since it is smaller than the sum of its proper divisors (155412848).

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

123006832 is a wasteful number, since it uses less digits than its factorization.

123006832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 123006832 is about 11090.8445124797. The cubic root of 123006832 is about 497.3281909702.

The spelling of 123006832 in words is "one hundred twenty-three million, six thousand, eight hundred thirty-two".