107679840 has 96 divisors (see below), whose sum is σ = 357073920. Its totient is φ = 27201024.

The previous prime is 107679811. The next prime is 107679851. The reversal of 107679840 is 48976701.

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 = 107679792 and 107679801.

It is a congruent number.

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, 3217 + ... + 15023.

It is an arithmetic number, because the mean of its divisors is an integer number (3719520).

Almost surely, 2^107679840 is an apocalyptic number.

107679840 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 107679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178536960).

107679840 is an abundant number, since it is smaller than the sum of its proper divisors (249394080).

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

107679840 is a wasteful number, since it uses less digits than its factorization.

107679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11844 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 107679840 is about 10376.8897074220. The cubic root of 107679840 is about 475.7492736011.

The spelling of 107679840 in words is "one hundred seven million, six hundred seventy-nine thousand, eight hundred forty".