123525864 has 192 divisors, whose sum is σ = 435844800. Its totient is φ = 32054400.

The previous prime is 123525863. The next prime is 123525889. The reversal of 123525864 is 468525321.

123525864 is a `hidden beast` number, since 1 + 23 + 52 + 586 + 4 = 666.

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 (123525863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115894 + ... + 116954.

It is an arithmetic number, because the mean of its divisors is an integer number (2270025).

Almost surely, 2^123525864 is an apocalyptic number.

123525864 is a gapful number since it is divisible by the number (14) 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 123525864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217922400).

123525864 is an abundant number, since it is smaller than the sum of its proper divisors (312318936).

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

123525864 is a wasteful number, since it uses less digits than its factorization.

123525864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1084 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 123525864 is about 11114.2190009015. The cubic root of 123525864 is about 498.0267078143.

The spelling of 123525864 in words is "one hundred twenty-three million, five hundred twenty-five thousand, eight hundred sixty-four".