108633920 has 112 divisors (see below), whose sum is σ = 273881088. Its totient is φ = 40980480.

The previous prime is 108633871. The next prime is 108633923. The reversal of 108633920 is 29336801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108633923) 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, 466124 + ... + 466356.

Almost surely, 2^108633920 is an apocalyptic number.

108633920 is a gapful number since it is divisible by the number (10) 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 108633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

108633920 is an abundant number, since it is smaller than the sum of its proper divisors (165247168).

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

108633920 is a wasteful number, since it uses less digits than its factorization.

108633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 108633920 is about 10422.7597113241. The cubic root of 108633920 is about 477.1502441362.

The spelling of 108633920 in words is "one hundred eight million, six hundred thirty-three thousand, nine hundred twenty".