116629872 has 80 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 36737536.

The previous prime is 116629861. The next prime is 116629873. The reversal of 116629872 is 278926611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116629873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97663 + ... + 98849.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2^116629872 is an apocalyptic number.

116629872 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 116629872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

116629872 is an abundant number, since it is smaller than the sum of its proper divisors (201564048).

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

116629872 is a wasteful number, since it uses less digits than its factorization.

116629872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1304 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 116629872 is about 10799.5311009321. The cubic root of 116629872 is about 488.5810287971.

The spelling of 116629872 in words is "one hundred sixteen million, six hundred twenty-nine thousand, eight hundred seventy-two".