117001632 has 96 divisors (see below), whose sum is σ = 338675904. Its totient is φ = 35072000.

The previous prime is 117001613. The next prime is 117001663. The reversal of 117001632 is 236100711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 117001599 and 117001608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106108 + ... + 107204.

It is an arithmetic number, because the mean of its divisors is an integer number (3527874).

Almost surely, 2^117001632 is an apocalyptic number.

117001632 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 117001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169337952).

117001632 is an abundant number, since it is smaller than the sum of its proper divisors (221674272).

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

117001632 is a wasteful number, since it uses less digits than its factorization.

117001632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 117001632 is about 10816.7292653556. The cubic root of 117001632 is about 489.0995987338.

The spelling of 117001632 in words is "one hundred seventeen million, one thousand, six hundred thirty-two".