123528240 has 200 divisors, whose sum is σ = 468304848. Its totient is φ = 29928960.

The previous prime is 123528221. The next prime is 123528257. The reversal of 123528240 is 42825321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70414 + ... + 72146.

Almost surely, 2^123528240 is an apocalyptic number.

123528240 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 123528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234152424).

123528240 is an abundant number, since it is smaller than the sum of its proper divisors (344776608).

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

123528240 is a wasteful number, since it uses less digits than its factorization.

123528240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1754 counting only the distinct ones).

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

The square root of 123528240 is about 11114.3258904893. The cubic root of 123528240 is about 498.0299009482.

The spelling of 123528240 in words is "one hundred twenty-three million, five hundred twenty-eight thousand, two hundred forty".