123433680 has 80 divisors (see below), whose sum is σ = 383725440. Its totient is φ = 32822784.

The previous prime is 123433679. The next prime is 123433691. The reversal of 123433680 is 86334321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 146701 + ... + 147539.

It is an arithmetic number, because the mean of its divisors is an integer number (4796568).

Almost surely, 2^123433680 is an apocalyptic number.

123433680 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 123433680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191862720).

123433680 is an abundant number, since it is smaller than the sum of its proper divisors (260291760).

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

123433680 is a wasteful number, since it uses less digits than its factorization.

123433680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 123433680 is about 11110.0711068832. The cubic root of 123433680 is about 497.9027890446.

The spelling of 123433680 in words is "one hundred twenty-three million, four hundred thirty-three thousand, six hundred eighty".