123570240 has 112 divisors (see below), whose sum is σ = 396678912. Its totient is φ = 32587776.

The previous prime is 123570221. The next prime is 123570241. The reversal of 123570240 is 42075321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123570240.

It is not an unprimeable number, because it can be changed into a prime (123570241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92457 + ... + 93783.

It is an arithmetic number, because the mean of its divisors is an integer number (3541776).

Almost surely, 2^123570240 is an apocalyptic number.

123570240 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 123570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198339456).

123570240 is an abundant number, since it is smaller than the sum of its proper divisors (273108672).

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

123570240 is a wasteful number, since it uses less digits than its factorization.

123570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 123570240 is about 11116.2151832357. The cubic root of 123570240 is about 498.0863384765.

The spelling of 123570240 in words is "one hundred twenty-three million, five hundred seventy thousand, two hundred forty".