123526980 has 108 divisors (see below), whose sum is σ = 395665452. Its totient is φ = 31190400.

The previous prime is 123526969. The next prime is 123526987. The reversal of 123526980 is 89625321.

123526980 is a `hidden beast` number, since 123 + 526 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 98366724 = 5016^2 + 9918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123526987) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64030 + ... + 65930.

It is an arithmetic number, because the mean of its divisors is an integer number (3663569).

Almost surely, 2^123526980 is an apocalyptic number.

123526980 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 123526980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197832726).

123526980 is an abundant number, since it is smaller than the sum of its proper divisors (272138472).

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

123526980 is a wasteful number, since it uses less digits than its factorization.

123526980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 123526980 is about 11114.2692067450. The cubic root of 123526980 is about 498.0282076247.

The spelling of 123526980 in words is "one hundred twenty-three million, five hundred twenty-six thousand, nine hundred eighty".