123528570 has 128 divisors (see below), whose sum is σ = 339351552. Its totient is φ = 28512000.

The previous prime is 123528563. The next prime is 123528589. The reversal of 123528570 is 75825321.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 817995 + ... + 818145.

It is an arithmetic number, because the mean of its divisors is an integer number (2651184).

Almost surely, 2^123528570 is an apocalyptic number.

123528570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123528570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169675776).

123528570 is an abundant number, since it is smaller than the sum of its proper divisors (215822982).

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

123528570 is a wasteful number, since it uses less digits than its factorization.

123528570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 123528570 is about 11114.3407361840. The cubic root of 123528570 is about 498.0303444357.

The spelling of 123528570 in words is "one hundred twenty-three million, five hundred twenty-eight thousand, five hundred seventy".