123263532 has 240 divisors, whose sum is σ = 409812480. Its totient is φ = 31477248.

The previous prime is 123263527. The next prime is 123263551. The reversal of 123263532 is 235362321.

123263532 is a `hidden beast` number, since 1 + 23 + 2 + 635 + 3 + 2 = 666.

It is a super-2 number, since 2×123263532² = 30387796642230048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 123263496 and 123263505.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 886719 + ... + 886857.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 2^123263532 is an apocalyptic number.

123263532 is a gapful number since it is divisible by the number (12) 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 123263532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204906240).

123263532 is an abundant number, since it is smaller than the sum of its proper divisors (286548948).

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

123263532 is a wasteful number, since it uses less digits than its factorization.

123263532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 123263532 is about 11102.4110894886. The cubic root of 123263532 is about 497.6739046755.

The spelling of 123263532 in words is "one hundred twenty-three million, two hundred sixty-three thousand, five hundred thirty-two".