123857920 has 88 divisors (see below), whose sum is σ = 314812224. Its totient is φ = 46596096.

The previous prime is 123857917. The next prime is 123857953. The reversal of 123857920 is 29758321.

It is a self number, because there is not a number n which added to its sum of digits gives 123857920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86329 + ... + 87751.

Almost surely, 2^123857920 is an apocalyptic number.

123857920 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 123857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157406112).

123857920 is an abundant number, since it is smaller than the sum of its proper divisors (190954304).

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

123857920 is a wasteful number, since it uses less digits than its factorization.

123857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 123857920 is about 11129.1473168433. The cubic root of 123857920 is about 498.4725653046.

The spelling of 123857920 in words is "one hundred twenty-three million, eight hundred fifty-seven thousand, nine hundred twenty".