117528642 has 96 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 28913760.

The previous prime is 117528617. The next prime is 117528679. The reversal of 117528642 is 246825711.

117528642 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 2 + 8 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117528597 and 117528606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24103 + ... + 28565.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^117528642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117528642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

117528642 is an abundant number, since it is smaller than the sum of its proper divisors (216735678).

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

117528642 is a wasteful number, since it uses less digits than its factorization.

117528642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4505 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 117528642 is about 10841.0627707804. The cubic root of 117528642 is about 489.8328487207.

The spelling of 117528642 in words is "one hundred seventeen million, five hundred twenty-eight thousand, six hundred forty-two".