123661032 has 96 divisors (see below), whose sum is σ = 344097600. Its totient is φ = 37002240.

The previous prime is 123660989. The next prime is 123661033. The reversal of 123661032 is 230166321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123660993 and 123661011.

It is not an unprimeable number, because it can be changed into a prime (123661033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281469 + ... + 281907.

It is an arithmetic number, because the mean of its divisors is an integer number (3584350).

Almost surely, 2^123661032 is an apocalyptic number.

123661032 is a gapful number since it is divisible by the number (12) 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 123661032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172048800).

123661032 is an abundant number, since it is smaller than the sum of its proper divisors (220436568).

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

123661032 is a wasteful number, since it uses less digits than its factorization.

123661032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 123661032 is about 11120.2981974406. The cubic root of 123661032 is about 498.2082966002.

The spelling of 123661032 in words is "one hundred twenty-three million, six hundred sixty-one thousand, thirty-two".