108762640 has 80 divisors (see below), whose sum is σ = 290338560. Its totient is φ = 37117440.

The previous prime is 108762623. The next prime is 108762659. The reversal of 108762640 is 46267801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 108762596 and 108762605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200770 + ... + 201310.

It is an arithmetic number, because the mean of its divisors is an integer number (3629232).

Almost surely, 2^108762640 is an apocalyptic number.

108762640 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 108762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145169280).

108762640 is an abundant number, since it is smaller than the sum of its proper divisors (181575920).

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

108762640 is a wasteful number, since it uses less digits than its factorization.

With its successor (108762641) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (920).

108762640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 108762640 is about 10428.9328313112. The cubic root of 108762640 is about 477.3386277064.

The spelling of 108762640 in words is "one hundred eight million, seven hundred sixty-two thousand, six hundred forty".