123085440 has 256 divisors, whose sum is σ = 462672000. Its totient is φ = 30818304.

The previous prime is 123085429. The next prime is 123085447. The reversal of 123085440 is 44580321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123085447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293551 + ... + 293969.

Almost surely, 2^123085440 is an apocalyptic number.

123085440 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 123085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

123085440 is an abundant number, since it is smaller than the sum of its proper divisors (339586560).

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

123085440 is a wasteful number, since it uses less digits than its factorization.

123085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 123085440 is about 11094.3877704000. The cubic root of 123085440 is about 497.4341082569.

The spelling of 123085440 in words is "one hundred twenty-three million, eighty-five thousand, four hundred forty".